@STRING{ASENS = "Ann. Scient. \'Ecoles Norm. Sup."} @STRING{AENS = "Ann. \'Ecoles Norm. Sup."} @STRING{AJM = "American Journal of Mathematics"} @STRING{AM = "Annals of Mathematics"} @STRING{AMStud = "Annals of Mathematics Studies"} @STRING{AMSMem = "Memoirs of the American Mathematical Society"} @STRING{AMS = "American Mathematical Society"} @STRING{AP = "Academic Press"} @STRING{Ast = "Ast\'erisque"} @STRING{AW = "Addison-Wesley"} @STRING{BAMS = "Bulletin of the American Mathematical Society"} @STRING{Ben = "Benjamin/Cummins"} @STRING{Birk = "Birkhauser"} @STRING{BSMF = "Bull. Soc. Math. France"} @STRING{BSMM = "Bol. Soc. Math. Mexicana"} @STRING{Cam = "Cambridge"} @STRING{CBMS = "C. B. M. S. Regional Conference Series in Mathematics"} @STRING{CJM = "Canadian Journal of Mathematics"} @STRING{CMH = "Commentarii Mathematici Helvetici"} @STRING{Crelle = "J. Reine Angew. Math."} @STRING{CUP = "Cambridge University Press"} @STRING{ConMath = "Contemporary Mathematics"} @STRING{Dok = "Soviet Mathematics Doklady"} @STRING{DMJ = "Duke Mathematical Journal"} @STRING{FM = "Fundamenta Mathematica"} @STRING{FoM = "Forum Mathematicum"} @STRING{GTM = "Graduate Texts in Mathematics"} @STRING{HMJ = "Hiroshima Mathematical Journal"} @STRING{IHES = "Inst. Hautes \'Etudes Sci. Publ. Math."} @STRING{IlJM = "Illinois Journal of Mathematics"} @STRING{INV = "Inventiones Math."} @STRING{JAlg = "Journal of Algebra"} @STRING{JAMS = "Journal of the American Mathematical Society"} @STRING{JLMS = "Journal of the London Mathematical Society"} @STRING{JPAA = "Journal of Pure and Applied Algebra"} @STRING{JMSJ = "Journal of the Mathematical Society of Japan"} @STRING{KT = "K-Theory"} @STRING{LNM = "Lecture Notes in Mathematics"} @STRING{LMSLNS = "London Mathematical Society Lecture Note Series"} @STRING{MA = "Mathematische Annalen"} @STRING{MemKyu = "Memoirs of the Faculty of Science, Kyushu University"} @STRING{MPCPS = "Math. Proc. Cambridge Phil. Soc."} @STRING{MZ = "Mathematische Zeitschrift"} @STRING{NH = "North-Holland"} @STRING{NY = "New York"} @STRING{OJM = "Osaka Journal of Mathematics"} @STRING{OQ = "Quarterly Journal of Mathematics"} @STRING{PAMS = "Proceedings of the American Mathematical Society"} @STRING{PCPS = "Proc. Cambridge Phil. Soc."} @STRING{PJA = "Proceedings of the Japan Academy"} @STRING{PJM = "Pacific Journal of Mathematics"} @STRING{PLMS = "Proceedings of the London Mathematical Society (3)"} @STRING{PNAS = "Proceedings of the National Academy of Sciences U.S.A."} @STRING{Prog = "Progress in Mathematics"} @STRING{Prov = "Providence, Rhode Island"} @STRING{P = "Princeton"} @STRING{PSPM = "Proc. Symp. Pure Math."} @STRING{PUP = "Princeton University Press"} @STRING{QJM = "Quarterly Journal of Mathematics"} @STRING{Read = "Reading, Massachusetts"} @STRING{RIMS = "Publications of Research Institute of Mathematical Sciences, Kyoto University"} @STRING{SV = "Springer-Verlag"} @STRING{Top = "Topology"} @STRING{TAMS = "Transactions of the American Mathematical Society"} @STRING{UCP = "University of Chicago Press"} @book {Joyofcats, AUTHOR = {Ad{\'a}mek, Ji{\v{r}}{\'{\i}} and Herrlich, Horst and Strecker, George E.}, TITLE = {Abstract and concrete categories}, SERIES = {Pure and Applied Mathematics (New York)}, NOTE = {The joy of cats, A Wiley-Interscience Publication}, PUBLISHER = {John Wiley \& Sons, Inc., New York}, YEAR = {1990}, PAGES = {xiv+482}, ISBN = {0-471-60922-6}, MRCLASS = {18-02 (08C05 18A20 18B30 54B30)}, MRNUMBER = {1051419 (91h:18001)}, MRREVIEWER = {Saunders Mac~Lane}, } @book {AR:LocPres, AUTHOR = {Ad{\'a}mek, J. and Rosick{\'y}, J.}, TITLE = {Locally presentable and accessible categories}, SERIES = {London Mathematical Society Lecture Note Series}, VOLUME = {189}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1994}, PAGES = {xiv+316}, ISBN = {0-521-42261-2}, MRCLASS = {18Axx (18-02)}, MRNUMBER = {1294136}, MRREVIEWER = {J. R. Isbell}, DOI = {10.1017/CBO9780511600579}, NOTE = {\url{https://doi.org/10.1017/CBO9780511600579}}, } @article {ARV2010, AUTHOR = {Ad{\'a}mek, J. and Rosick{\'y}, J. and Vitale, E. M.}, TITLE = {What are sifted colimits?}, JOURNAL = {Theory Appl. Categ.}, FJOURNAL = {Theory and Applications of Categories}, VOLUME = {23}, YEAR = {2010}, PAGES = {No. 13, 251--260}, ISSN = {1201-561X}, MRCLASS = {18A30 (18A35)}, MRNUMBER = {2720191 (2011g:18002)}, MRREVIEWER = {Stephen Lack}, } @book {ARV2011, AUTHOR = {Ad{\'a}mek, J. and Rosick{\'y}, J. and Vitale, E. M.}, TITLE = {Algebraic theories}, SERIES = {Cambridge Tracts in Mathematics}, VOLUME = {184}, NOTE = {A categorical introduction to general algebra, With a foreword by F. W. Lawvere}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2011}, PAGES = {xviii+249}, ISBN = {978-0-521-11922-1}, MRCLASS = {18-02 (18C05 18C10 18C15)}, MRNUMBER = {2757312 (2012f:18001)}, MRREVIEWER = {Walter Tholen}, } @book {JFA:Works, AUTHOR = {Adams, J. Frank}, TITLE = {The selected works of {J}. {F}rank {A}dams. {V}ol. {II}}, NOTE = {Edited and with an introduction and biographical data by J. P. May and C. B. Thomas}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1992}, PAGES = {xvi+529}, ISBN = {0-521-41065-7}, MRCLASS = {01A75 (55-03)}, MRNUMBER = {1203313 (94d:01095b)}, MRREVIEWER = {Donald M. Davis}, } @ARTICLE {Ad:SS, AUTHOR = {Adams, J. F.}, TITLE = {On the structure and applications of the {S}teenrod algebra}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {32}, YEAR = {1958}, PAGES = {180--214}, ISSN = {0010-2571}, MRCLASS = {55.00}, MRNUMBER = {MR0096219 (20 \#2711)}, MRREVIEWER = {F. P. Peterson}, } @ARTICLE {Ad:Hopf, AUTHOR = {Adams, J. F.}, TITLE = {On the non-existence of elements of {H}opf invariant one}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {72}, YEAR = {1960}, PAGES = {20--104}, ISSN = {0003-486X}, MRCLASS = {55.40}, MRNUMBER = {MR0141119 (25 \#4530)}, MRREVIEWER = {M. A. Kervaire}, } @incollection {Ad:Prereq, AUTHOR = {Adams, J. F.}, TITLE = {Prerequisites (on equivariant stable homotopy) for {C}arlsson's lecture}, BOOKTITLE = {Algebraic topology, {A}arhus 1982 ({A}arhus, 1982)}, SERIES = {Lecture Notes in Math.}, VOLUME = {1051}, PAGES = {483--532}, PUBLISHER = {Springer, Berlin}, YEAR = {1984}, MRCLASS = {57S17 (55P91)}, MRNUMBER = {764596 (86f:57037)}, MRREVIEWER = {J. P. May}, DOI = {10.1007/BFb0075584}, NOTE = {\url{http://dx.doi.org/10.1007/BFb0075584}}, } @ARTICLE {Ad:Vect, AUTHOR = {Adams, J. F.}, TITLE = {Vector fields on spheres}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {75}, YEAR = {1962}, PAGES = {603--632}, ISSN = {0003-486X}, MRCLASS = {57.30}, MRNUMBER = {MR0139178 (25 \#2614)}, MRREVIEWER = {M. F. Atiyah}, } @ARTICLE {Ad:Per, AUTHOR = {Adams, J. F.}, TITLE = {A periodicity theorem in homological algebra}, JOURNAL = {Proc. Cambridge Philos. Soc.}, VOLUME = {62}, YEAR = {1966}, PAGES = {365--377}, MRCLASS = {18.20}, MRNUMBER = {MR0194486 (33 \#2696)}, MRREVIEWER = {R. M. F. Moss}, } @incollection {Ad:RP, AUTHOR = {Adams, J. F.}, TITLE = {Operations of the {$n$}th kind in {$K$}-theory, and what we don't know about {$RP^{\infty }$}}, BOOKTITLE = {New developments in topology ({P}roc. {S}ympos. {A}lgebraic {T}opology, {O}xford, 1972)}, PAGES = {1--9. London Math. Soc. Lecture Note Ser., No. 11}, PUBLISHER = {Cambridge Univ. Press, London}, YEAR = {1974}, MRCLASS = {55G25}, MRNUMBER = {0339178}, MRREVIEWER = {M. Mahowald}, } @BOOK{Ad:SHGH, AUTHOR = {Adams, J. F.}, TITLE = {Stable homotopy and generalised homology}, NOTE = {Chicago Lectures in Mathematics}, PUBLISHER = {University of Chicago Press}, ADDRESS = {Chicago, Ill.}, YEAR = {1974}, PAGES = {x+373}, MRCLASS = {55B20 (55E10)}, MRNUMBER = {MR0402720 (53 \#6534)}, MRREVIEWER = {P. S. Landweber}, } @BOOK{Ad:SHT, AUTHOR = {Adams, J. Frank}, TITLE = {Stable homotopy theory}, SERIES = {Lectures Notes in Mathematics}, VOLUME = {3}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1964}, PAGES = {iv+74}, MRCLASS = {55.40 (57.00)}, MRNUMBER = {0185597 (32 \#3061)}, MRREVIEWER = {R. Brown}, } @BOOK{Ad:Loop, AUTHOR = {Adams, John Frank}, TITLE = {Infinite loop spaces}, SERIES = {Annals of Mathematics Studies}, VOLUME = {90}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N.J.}, YEAR = {1978}, PAGES = {x+214}, ISBN = {0-691-08207-3; 0-691-08206-5}, MRCLASS = {55-02 (55N20 55P47)}, MRNUMBER = {MR505692 (80d:55001)}, MRREVIEWER = {Stewart B. Priddy}, } @UNPUBLISHED{Ad:5/87, AUTHOR = {J. F. Adams}, TITLE = {Private communication}, NOTE = {May, 1987} } @ARTICLE {Ad:EHB, AUTHOR = {Adams, J. F.}, TITLE = {A variant of {E}. {H}. {B}rown's representability theorem}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {10}, YEAR = {1971}, PAGES = {185--198}, ISSN = {0040-9383}, MRCLASS = {55.30}, MRNUMBER = {MR0283788 (44 \#1018)}, MRREVIEWER = {R. E. Mosher}, } @ARTICLE {Ad:JX2, AUTHOR = {Adams, J. F.}, TITLE = {On the groups {$J(X)$}. {II}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {3}, YEAR = {1965}, PAGES = {137--171}, ISSN = {0040-9383}, MRCLASS = {55.40}, MRNUMBER = {MR0198468 (33 \#6626)}, MRREVIEWER = {E. Dyer}, } @ARTICLE {Ad:JX4, AUTHOR = {Adams, J. F.}, TITLE = {On the groups {$J(X)$}. {IV}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {5}, YEAR = {1966}, PAGES = {21--71}, ISSN = {0040-9383}, MRCLASS = {55.40}, MRNUMBER = {MR0198470 (33 \#6628)}, MRREVIEWER = {E. Dyer}, } @BOOK{Ad:Loc, AUTHOR = {Adams, J. F.}, TITLE = {Localisation and completion}, NOTE = {With an addendum on the use of Brown-Peterson homology in stable homotopy, Lecture notes by Z. Fiedorowicz on a course given at the University of Chicago in Spring, 1973}, PUBLISHER = {Department of Mathematics, University of Chicago, Chicago, Ill.}, YEAR = {1975}, PAGES = {ii+141}, MRCLASS = {55D15}, MRNUMBER = {MR0420607 (54 \#8621)}, MRREVIEWER = {Guido Mislin}, } @incollection {Adams:Segal, AUTHOR = {Adams, J. F.}, TITLE = {Graeme {S}egal's {B}urnside ring conjecture}, BOOKTITLE = {Topology {S}ymposium, {S}iegen 1979 ({P}roc. {S}ympos., {U}niv. {S}iegen, {S}iegen, 1979)}, SERIES = {Lecture Notes in Math.}, VOLUME = {788}, PAGES = {378--395}, PUBLISHER = {Springer, Berlin}, YEAR = {1980}, MRCLASS = {55P42}, MRNUMBER = {585670}, MRREVIEWER = {V. P. Snaith}, } @INBOOK{Ad:99, AUTHOR = {J. F. Adams}, TITLE = {Lectures on generalized cohomology}, PAGES = {1-138}, PUBLISHER = SV, YEAR = {1969}, VOLUME = {99}, SERIES = LNM } @ARTICLE {AdMarg, AUTHOR = {J. F. Adams and H. R. Margolis}, TITLE = {Modules over the {Steenrod} algebra}, JOURNAL = Top, VOLUME = {10}, PAGES = {271-282}, YEAR = {1971 } } @ARTICLE {AdPriddy, AUTHOR = {J. F. Adams and S. B. Priddy}, TITLE = {Uniqueness of {$B{\rm SO}$}}, JOURNAL = MPCPS, VOLUME = {80}, PAGES = {475-509}, YEAR = {1976 } } @incollection {ACD, AUTHOR = {Adem, A. and Cohen, R. L. and Dwyer, W. G.}, TITLE = {Generalized {T}ate homology, homotopy fixed points and the transfer}, BOOKTITLE = {Algebraic topology ({E}vanston, {IL}, 1988)}, SERIES = {Contemp. Math.}, VOLUME = {96}, PAGES = {1--13}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1989}, ISBN = {0-8218-5102-0}, MRCLASS = {55N25 (18G30 19D55 55P42)}, MRNUMBER = {1022669}, MRREVIEWER = {J.\ P. C. Greenlees}, DOI = {10.1090/conm/096/1022669}, URL = {https://doi.org/10.1090/conm/096/1022669}, } @ARTICLE {A:BI, AUTHOR = {Adem, Jos\'e}, TITLE = {On nonsingular bilinear maps. {II}}, JOURNAL = {Bol. Soc. Mat. Mexicana (2)}, FJOURNAL = {Bolet\'in de la Sociedad Matem\'atica Mexicana. Segunda Serie}, VOLUME = {16}, YEAR = {1971}, PAGES = {64--70}, MRCLASS = {55G36}, MRNUMBER = {319196}, MRREVIEWER = {R.\ J.\ Milgram}, } @UNPUBLISHED{AndDual, AUTHOR = {D. W. 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(3)}, FJOURNAL = {Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie III}, VOLUME = {21}, YEAR = {1967}, PAGES = {189--238}, ISSN = {0391-173X}, MRCLASS = {14.51}, MRNUMBER = {220740}, MRREVIEWER = {J. A. Todd}, } @article {AR05, AUTHOR = {Angeltveit, Vigleik and Rognes, John}, TITLE = {Hopf algebra structure on topological {H}ochschild homology}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {5}, YEAR = {2005}, PAGES = {1223--1290}, ISSN = {1472-2747,1472-2739}, MRCLASS = {55P43 (16W30 55S10 55S12 55T15 57T05)}, MRNUMBER = {2171809}, DOI = {10.2140/agt.2005.5.1223}, URL = {https://doi.org/10.2140/agt.2005.5.1223}, } @article {Angeltveit, AUTHOR = {Angeltveit, Vigleik}, TITLE = {Enriched {R}eedy categories}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {136}, YEAR = {2008}, NUMBER = {7}, PAGES = {2323--2332}, ISSN = {0002-9939}, MRCLASS = {18G55}, MRNUMBER = {2390498}, MRREVIEWER = {Birgit Richter}, DOI = {10.1090/S0002-9939-08-09185-5}, URL = {http://dx.doi.org/10.1090/S0002-9939-08-09185-5}, } @article {ABGHL, AUTHOR = {Angeltveit, Vigleik and Blumberg, Andrew J. and Gerhardt, Teena and Hill, Michael A. and Lawson, Tyler}, TITLE = {Interpreting the {B}\"okstedt smash product as the norm}, JOURNAL = {Proc. Amer. Math. 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J.}, TITLE = {Equivariant symmetric monoidal structures }, YEAR = {2016}, NOTE = {\url{https://arxiv.org/abs/1610.03114}} } @article{Hill:Primer, AUTHOR = {Hill, Michael A.}, TITLE = {The equivariant slice filtration: a primer}, JOURNAL = {Homology Homotopy Appl.}, FJOURNAL = {Homology, Homotopy and Applications}, VOLUME = {14}, YEAR = {2012}, NUMBER = {2}, PAGES = {143--166}, ISSN = {1532-0073}, MRCLASS = {55N91}, MRNUMBER = {3007090}, MRREVIEWER = {Markus Szymik}, DOI = {10.4310/HHA.2012.v14.n2.a9}, URL = {http://dx.doi.org/10.4310/HHA.2012.v14.n2.a9}, } @inproceedings {HHR:ICM, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {On the non-existence of elements of {K}ervaire invariant one}, BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians---{S}eoul 2014. {V}ol. {II}}, PAGES = {1219--1243}, PUBLISHER = {Kyung Moon Sa, Seoul}, YEAR = {2014}, MRCLASS = {55Q10 (55P42 55P91 55Q45 55Q91 55T15 57R90)}, MRNUMBER = {3728659}, MRREVIEWER = {Laurence R. Taylor}, } @article {HHR:RO(G), AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {The slice spectral sequence for certain {$RO(C_{p^n})$}-graded suspensions of {$H\underline{\bf Z}$}}, JOURNAL = {Bol. Soc. Mat. Mex. (3)}, FJOURNAL = {Bolet\'\i n de la Sociedad Matem\'atica Mexicana. Third Series}, VOLUME = {23}, YEAR = {2017}, NUMBER = {1}, PAGES = {289--317}, ISSN = {1405-213X}, MRCLASS = {55Q10 (55P42 55Q91 55R45 55T20)}, MRNUMBER = {3633137}, DOI = {10.1007/s40590-016-0129-3}, URL = {http://dx.doi.org/10.1007/s40590-016-0129-3}, } @article {HHR, AUTHOR = {Hill, M. A. and Hopkins, M. J. and Ravenel, Douglas C.}, TITLE = {On the nonexistence of elements of {K}ervaire invariant one}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {184}, YEAR = {2016}, NUMBER = {1}, PAGES = {1--262}, ISSN = {0003-486X}, MRCLASS = {55P91 (55N22 55P42 55Q45 55T15 55U35 57R15)}, MRNUMBER = {3505179}, } @article {HHR:C4, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {The slice spectral sequence for the {$C_4$} analog of real {$K$}-theory}, JOURNAL = {Forum Math.}, FJOURNAL = {Forum Mathematicum}, VOLUME = {29}, YEAR = {2017}, NUMBER = {2}, PAGES = {383--447}, ISSN = {0933-7741}, MRCLASS = {55Q10 (55P42 55Q91 55R45 55T05)}, MRNUMBER = {3619120}, DOI = {10.1515/forum-2016-0017}, URL = {http://dx.doi.org/10.1515/forum-2016-0017}, } @incollection {HHR:Intro, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {The {A}rf-{K}ervaire invariant problem in algebraic topology: introduction}, BOOKTITLE = {Current developments in mathematics, 2009}, PAGES = {23--57}, PUBLISHER = {Int. Press, Somerville, MA}, YEAR = {2010}, MRCLASS = {55Qxx (55Txx 57Rxx)}, MRNUMBER = {2757358}, } @inproceedings {HHR:Gokova, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {A solution to the {A}rf-{K}ervaire invariant problem}, BOOKTITLE = {Proceedings of the {G}\"okova {G}eometry-{T}opology {C}onference 2010}, PAGES = {21--63}, PUBLISHER = {Int. Press, Somerville, MA}, YEAR = {2011}, MRCLASS = {57Rxx (55Qxx)}, MRNUMBER = {2931879}, } @incollection {HHR:CDM1, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {The {A}rf-{K}ervaire invariant problem in algebraic topology: introduction}, BOOKTITLE = {Current developments in mathematics, 2009}, PAGES = {23--57}, PUBLISHER = {Int. Press, Somerville, MA}, YEAR = {2010}, MRCLASS = {55Q10 (55P42 55Q40 55T15)}, MRNUMBER = {2757358 (2012i:55015)}, MRREVIEWER = {Tyler D. Lawson}, } @incollection {HHR:CDM2, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {The {A}rf-{K}ervaire problem in algebraic topology: sketch of the proof}, BOOKTITLE = {Current developments in mathematics, 2010}, PAGES = {1--43}, PUBLISHER = {Int. Press, Somerville, MA}, YEAR = {2011}, MRCLASS = {57Rxx (55Pxx 57Sxx)}, MRNUMBER = {2906370}, } @incollection {CDMProof, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {The {A}rf-{K}ervaire problem in algebraic topology: sketch of the proof}, BOOKTITLE = {Current developments in mathematics, 2010}, PAGES = {1--43}, PUBLISHER = {Int. Press, Somerville, MA}, YEAR = {2011}, MRCLASS = {57Rxx (55Pxx 57Sxx)}, MRNUMBER = {2906370}, } @article {HHR:ROCpn, AUTHOR = {Hill, Michael A. and Hopkins, M. J. and Ravenel, Douglas C.}, TITLE = {The slice spectral sequence for certain {$RO(C_{p^n})$}-graded suspensions of {$H\underline{\bf Z}$}}, JOURNAL = {Bol. Soc. Mat. Mex. (3)}, FJOURNAL = {Bolet\'{i}n de la Sociedad Matem\'{a}tica Mexicana. Third Series}, VOLUME = {23}, YEAR = {2017}, NUMBER = {1}, PAGES = {289--317}, ISSN = {1405-213X}, MRCLASS = {55Q10 (55P42 55Q91 55R45 55T20)}, MRNUMBER = {3633137}, DOI = {10.1007/s40590-016-0129-3}, URL = {https://doi.org/10.1007/s40590-016-0129-3}, } @book {HHR:ESHT, AUTHOR = {Hill, Michael A. and Hopkins, Michael J. and Ravenel, Douglas C.}, TITLE = {Equivariant stable homotopy theory and the {K}ervaire invariant problem}, SERIES = {New Mathematical Monographs}, VOLUME = {40}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2021}, PAGES = {ix+870}, ISBN = {978-1-108-83144-4}, MRCLASS = {55P91 (55N22 55P42 55Q45 55T15 55U35 57R15 57R91)}, MRNUMBER = {4273305}, DOI = {10.1017/9781108917278}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1017/9781108917278}, } @ARTICLE {Hill:Slice, AUTHOR = {Hill, Michael A.}, TITLE = {The equivariant slice filtration: a primer}, JOURNAL = {Homology Homotopy Appl.}, FJOURNAL = {Homology, Homotopy and Applications}, VOLUME = {14}, YEAR = {2012}, NUMBER = {2}, PAGES = {143--166}, ISSN = {1532-0073}, MRCLASS = {55N91}, MRNUMBER = {3007090}, MRREVIEWER = {Markus Szymik}, DOI = {10.4310/HHA.2012.v14.n2.a9}, URL = {http://dx.doi.org/10.4310/HHA.2012.v14.n2.a9}, } @ARTICLE {Hill-Yarnall, AUTHOR = {Hill, Michael A. and Yarnall, Carolyn}, TITLE = {A new formulation of the equivariant slice filtration with applications to {$C_p$}-slices}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {146}, YEAR = {2018}, NUMBER = {8}, PAGES = {3605--3614}, ISSN = {0002-9939}, MRCLASS = {55N91 (55P91 55Q10)}, MRNUMBER = {3803684}, MRREVIEWER = {Samik Basu}, DOI = {10.1090/proc/13906}, URL = {https://doi.org/10.1090/proc/13906}, } @unpublished{Hilman, AUTHOR = {Hilman, Kaif }, TITLE = {A Beginner’s Guide to The {Segal} Conjecture for Finite Groups}, NOTE = {\url{https://drive.google.com/file/d/1SKrrJlAw3mle3CI1OOzprDYi_ejDxv8R/view}}, YEAR = {2020 } , } @BOOK{HS:HomAlg, AUTHOR = {P. Hilton and U. 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Makkai}, } @incollection {Madsen, AUTHOR = {Madsen, Ib}, TITLE = {Algebraic {$K$}-theory and traces}, BOOKTITLE = {Current developments in mathematics, 1995 ({C}ambridge, {MA})}, PAGES = {191--321}, PUBLISHER = {Int. Press, Cambridge, MA}, YEAR = {1994}, ISBN = {1-57146-029-2}, MRCLASS = {19D55 (19D10 19D35 55P42 55P91)}, MRNUMBER = {1474979}, MRREVIEWER = {Teimuraz\ Pirashvili}, } @incollection {Madsen94, AUTHOR = {Madsen, Ib}, TITLE = {The cyclotomic trace in algebraic {$K$}-theory}, BOOKTITLE = {First {E}uropean {C}ongress of {M}athematics, {V}ol.\ {II} ({P}aris, 1992)}, SERIES = {Progr. Math.}, VOLUME = {120}, PAGES = {213--241}, PUBLISHER = {Birkh\"auser, Basel}, YEAR = {1994}, ISBN = {3-7643-2799-5}, MRCLASS = {55N15 (19D55 19L47 55N35)}, MRNUMBER = {1341845}, MRREVIEWER = {Sue\ Geller}, } @ARTICLE {Mah:J, AUTHOR = {Mahowald, Mark E.}, TITLE = {The order of the image of the {$J$}-homomorphism}, BOOKTITLE = {Proc. {A}dvanced {S}tudy {I}nst. on {A}lgebraic {T}opology ({A}arhus, 1970), {V}ol. {II}}, PAGES = {376--384}, PUBLISHER = {Mat. Inst.}, ADDRESS = {Aarhus Univ., Aarhus}, YEAR = {1970}, MRCLASS = {55.40}, MRNUMBER = {MR0276962 (43 \#2701)}, MRREVIEWER = {J. F. Adams}, } @ARTICLE {Mah:bo, AUTHOR = {Mahowald, Mark E.}, TITLE = {{$b{\rm o}$}-resolutions}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {92}, YEAR = {1981}, NUMBER = {2}, PAGES = {365--383}, ISSN = {0030-8730}, CODEN = {PJMAAI}, MRCLASS = {55Q45 (55P42)}, MRNUMBER = {MR618072 (82m:55017)}, MRREVIEWER = {R. J. Milgram}, URL = {http://projecteuclid.org/getRecord?id=euclid.pjm/1102736799}, } @ARTICLE {Mah:ImJ, AUTHOR = {Mahowald, Mark E.}, TITLE = {The image of {$J$} in the {$EHP$} sequence}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {116}, YEAR = {1982}, NUMBER = {1}, PAGES = {65--112}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {55Q40}, MRNUMBER = {MR662118 (83i:55019)}, MRREVIEWER = {Donald M. Davis}, DOI = {10.2307/2007048}, URL = {http://dx.doi.org/10.2307/2007048}, } @ARTICLE {Mah:Eta, AUTHOR = {Mahowald, Mark E.}, TITLE = {A new infinite family in {${}_{2}\pi_{*}{}^s$}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {16}, YEAR = {1977}, NUMBER = {3}, PAGES = {249--256}, ISSN = {0040-9383}, MRCLASS = {55E45}, MRNUMBER = {MR0445498 (56 \#3838)}, MRREVIEWER = {Donald W. Kahn}, } @INPROCEEDINGS{Mah:Eta2, AUTHOR = {Mahowald, Mark E.}, TITLE = {Some homotopy classes generated by {$\eta _{j}$}}, BOOKTITLE = {Algebraic topology, {A}arhus 1978 ({P}roc. {S}ympos., {U}niv. {A}arhus, {A}arhus, 1978)}, SERIES = {Lecture Notes in Math.}, VOLUME = {763}, PAGES = {23--37}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1979}, MRCLASS = {55Q45}, MRNUMBER = {MR561212 (83e:55008)}, } @BOOK{Mah:Red, AUTHOR = {Mahowald, Mark E.}, TITLE = {The metastable homotopy of {$S^{n}$}}, SERIES = {Memoirs of the American Mathematical Society, No. 72}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, R.I.}, YEAR = {1967}, PAGES = {81}, MRCLASS = {55.45}, MRNUMBER = {MR0236923 (38 \#5216)}, MRREVIEWER = {Ronald Brown}, } @ARTICLE {Mah:Theta, AUTHOR = {M. E. Mahowald}, TITLE = {Some remarks on the {Kervaire} invariant problem from the homotopy point of view}, JOURNAL = PSPM, VOLUME = {22}, PAGES = {165-169}, YEAR = {1971 } } @UNPUBLISHED{MahGoe:Theta, AUTHOR ={Mark Mahowald and Paul Goerss}, TITLE = {The {K}ervaire invariant in homotopy theory }, NOTE = {\url{http://www.math.northwestern.edu/~pgoerss/papers/kinoteNov16.pdf}}} @ARTICLE {Mah:Ring, AUTHOR = {M. E. Mahowald}, TITLE = {Ring spectra which are {Thom} complexes}, JOURNAL = DMJ, VOLUME = {46}, PAGES = {549-559}, YEAR = {1979 } } @incollection {MR, AUTHOR = {Mahowald, Mark E. and Ravenel, Douglas C.}, TITLE = {Toward a global understanding of the homotopy groups of spheres}, BOOKTITLE = {The {L}efschetz centennial conference, {P}art {II} ({M}exico {C}ity, 1984)}, SERIES = {Contemp. Math.}, VOLUME = {58, II}, PAGES = {57--74}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1987}, ISBN = {0-8218-5063-6}, MRCLASS = {55Q40 (55P42)}, MRNUMBER = {893848}, MRREVIEWER = {David\ C.\ Johnson}, DOI = {10.1016/0040-9383(93)90055-z}, URL = {https://doi.org/10.1016/0040-9383(93)90055-z}, } @ARTICLE {MR:Root, AUTHOR = {Mahowald, Mark E. and Ravenel, Douglas C.}, TITLE = {The root invariant in homotopy theory}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {32}, YEAR = {1993}, NUMBER = {4}, PAGES = {865--898}, ISSN = {0040-9383}, MRCLASS = {55Q45}, MRNUMBER = {1241877}, MRREVIEWER = {Haynes\ R.\ Miller}, DOI = {10.1016/0040-9383(93)90055-Z}, URL = {https://doi.org/10.1016/0040-9383(93)90055-Z}, } @UNPUBLISHED{MRS, AUTHOR = {Mahowald, Mark E. and Ravenel, Douglas C. and Shick, Paul L.}, TITLE = {The $v_2$-periodic homotopy of a certain {Thom} complex}, NOTE = {To appear} } @UNPUBLISHED{MRS2, AUTHOR = {Mahowald, Mark E. and Ravenel, Douglas C. and Shick, Paul L.}, TITLE = {The homotopy of $v_n$--periodic telescopes and localizations}, NOTE = {To appear} } @INPROCEEDINGS{MRS3, AUTHOR = {Mahowald, Mark E. and Ravenel, Douglas C. and Shick, Paul L.}, TITLE = {The {T}homified {E}ilenberg-{M}oore spectral sequence}, BOOKTITLE = {Cohomological methods in homotopy theory (Bellaterra, 1998)}, SERIES = {Progr. Math.}, VOLUME = {196}, PAGES = {249--262}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {2001}, MRCLASS = {55T20}, MRNUMBER = {MR1851257 (2002f:55042)}, MRREVIEWER = {Robert E. Stong}, } @incollection {MRS4, AUTHOR = {Mahowald, Mark E. and Ravenel, Douglas C. and Shick, Paul L.}, TITLE = {The triple loop space approach to the telescope conjecture}, BOOKTITLE = {Homotopy methods in algebraic topology ({B}oulder, {CO}, 1999)}, SERIES = {Contemp. Math.}, VOLUME = {271}, PAGES = {217--284}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2001}, ISBN = {0-8218-2621-2}, MRCLASS = {55P42 (55P35 55P60 55T10)}, MRNUMBER = {1831355}, MRREVIEWER = {N.\ J.\ Kuhn}, DOI = {10.1090/conm/271/04358}, URL = {https://doi.org/10.1090/conm/271/04358}, } @article {MahoRezk99, AUTHOR = {Mahowald, Mark E. and Rezk, Charles}, TITLE = {Brown-{C}omenetz duality and the {A}dams spectral sequence}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {121}, YEAR = {1999}, NUMBER = {6}, PAGES = {1153--1177}, ISSN = {0002-9327}, CODEN = {AJMAAN}, MRCLASS = {55P42 (55N22 55P60 55S10 55T15)}, MRNUMBER = {1719751 (2001a:55008)}, MRREVIEWER = {J. P. C. Greenlees}, URL = {http://muse.jhu.edu/journals/american_journal_of_mathematics/v121/121.6mahowald.pdf}, } @article {MahoRezk09, AUTHOR = {Mahowald, Mark E. and Rezk, Charles}, TITLE = {Topological modular forms of level 3}, JOURNAL = {Pure Appl. Math. Q.}, FJOURNAL = {Pure and Applied Mathematics Quarterly}, VOLUME = {5}, YEAR = {2009}, NUMBER = {2, Special Issue: In honor of Friedrich Hirzebruch. Part 1}, PAGES = {853--872}, ISSN = {1558-8599}, MRCLASS = {55N34 (11F23 55P42)}, MRNUMBER = {2508904 (2010g:55010)}, MRREVIEWER = {Tyler D. Lawson}, DOI = {10.4310/PAMQ.2009.v5.n2.a9}, URL = {http://dx.doi.org/10.4310/PAMQ.2009.v5.n2.a9}, } @ARTICLE {MahShi, AUTHOR = {M. E. Mahowald and K. Shimomura}, TITLE = {The {Adams--Novikov} spectral sequence for the {$L_2$}-localization of a $v_2$-spectrum"}, JOURNAL = ConMath, VOLUME = {146}, PAGES = {237-250}, YEAR = {1993 } } @article{MT:Diff, AUTHOR = {Mahowald, Mark E. and Tangora, Martin}, TITLE = {Some differentials in the {A}dams spectral sequence}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {6}, YEAR = {1967}, PAGES = {349--369}, ISSN = {0040-9383}, MRCLASS = {55.52}, MRNUMBER = {MR0214072 (35 \#4924)}, MRREVIEWER = {J. F. Adams}, } @ARTICLE {MT:Sec, AUTHOR = {M. E. Mahowald and M. C. Tangora}, TITLE = {On secondary operations which detect homotopy classes}, JOURNAL = BSMM, VOLUME = {12}, PAGES = {71-75}, YEAR = {1967 } } @article {Makkai-Rosicky, AUTHOR = {Makkai, M. and Rosick\'{y}, J.}, TITLE = {Cellular categories}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {218}, YEAR = {2014}, NUMBER = {9}, PAGES = {1652--1664}, ISSN = {0022-4049}, MRCLASS = {18C35 (18D05)}, MRNUMBER = {3188863}, MRREVIEWER = {Philippe Gaucher}, DOI = {10.1016/j.jpaa.2014.01.005}, URL = {https://doi.org/10.1016/j.jpaa.2014.01.005}, } @article {malkiewic, AUTHOR = {Malkiewich, Cary}, TITLE = {The topological cyclic homology of the dual circle}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {221}, YEAR = {2017}, NUMBER = {6}, PAGES = {1407--1422}, ISSN = {0022-4049,1873-1376}, MRCLASS = {55P43 (19D55)}, MRNUMBER = {3599438}, MRREVIEWER = {Bj\o rn\ Ian\ Dundas}, DOI = {10.1016/j.jpaa.2016.10.001}, URL = {https://doi.org/10.1016/j.jpaa.2016.10.001}, } @article {MandellMay, AUTHOR = {Mandell, M. A. and May, J. P.}, TITLE = {Equivariant orthogonal spectra and {$S$}-modules}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {159}, YEAR = {2002}, NUMBER = {755}, PAGES = {x+108}, ISSN = {0065-9266}, CODEN = {MAMCAU}, MRCLASS = {55P91 (18E30 55P42 55P43 55P48)}, MRNUMBER = {MR1922205 (2003i:55012)}, MRREVIEWER = {J. P. C. Greenlees}, } @article {MMSS, AUTHOR = {Mandell, M. A. and May, J. P. and Schwede, S. and Shipley, B.}, TITLE = {Model categories of diagram spectra}, JOURNAL = {Proc. London Math. Soc. (3)}, FJOURNAL = {Proceedings of the London Mathematical Society. Third Series}, VOLUME = {82}, YEAR = {2001}, NUMBER = {2}, PAGES = {441--512}, ISSN = {0024-6115}, CODEN = {PLMTAL}, MRCLASS = {55P42 (18A25 18E30 55U35)}, MRNUMBER = {1806878 (2001k:55025)}, MRREVIEWER = {Mark Hovey}, DOI = {10.1112/S0024611501012692}, URL = {http://dx.doi.org/10.1112/S0024611501012692}, } @incollection {Mandell:EqvrSymmSpec, AUTHOR = {Mandell, Michael A.}, TITLE = {Equivariant symmetric spectra}, BOOKTITLE = {Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic {$K$}-theory}, SERIES = {Contemp. Math.}, VOLUME = {346}, PAGES = {399--452}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2004}, MRCLASS = {55P91 (55P42)}, MRNUMBER = {2066508}, MRREVIEWER = {J. P. C. Greenlees}, DOI = {10.1090/conm/346/06297}, URL = {http://dx.doi.org/10.1090/conm/346/06297}, } @BOOK{MLvideo, AUTHOR = {H.-O. Peitgen and H. Jurgens and D. Saupe and C. Zahlten}, TITLE = {Fractals, an animated discussion [videorecording], interviews with E. Lorenz and B.B. Mandelbrot}, PUBLISHER = {W.H. Freeman}, ADDRESS = NY, YEAR = {1990 } } @article {MMaySchShip, AUTHOR = {Mandell, M. A. and May, J. P. and Schwede, S. and Shipley, B.}, TITLE = {Model categories of diagram spectra}, JOURNAL = {Proc. London Math. Soc. (3)}, FJOURNAL = {Proceedings of the London Mathematical Society. Third Series}, VOLUME = {82}, YEAR = {2001}, NUMBER = {2}, PAGES = {441--512}, ISSN = {0024-6115}, CODEN = {PLMTAL}, MRCLASS = {55P42 (18A25 18E30 55U35)}, MRNUMBER = {MR1806878 (2001k:55025)}, MRREVIEWER = {Mark Hovey}, DOI = {10.1112/S0024611501012692}, URL = {http://dx.doi.org/10.1112/S0024611501012692}, } @article {Manin:1963, AUTHOR = {Manin, Ju. I.}, TITLE = {Theory of commutative formal groups over fields of finite characteristic}, JOURNAL = {Uspehi Mat. Nauk}, VOLUME = {18}, YEAR = {1963}, NUMBER = {6 (114)}, PAGES = {3--90}, MRCLASS = {14.50 (14.49)}, MRNUMBER = {28 \#1200}, MRREVIEWER = {E. C. 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P.}, TITLE = {The cohomology structure of certain fibre spaces. {I}}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {4}, YEAR = {1965}, PAGES = {47--65}, ISSN = {0040-9383}, MRCLASS = {55.50}, MRNUMBER = {189032}, MRREVIEWER = {D. B. A. Epstein}, DOI = {10.1016/0040-9383(65)90048-0}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1016/0040-9383(65)90048-0}, } @BOOK{MP67, AUTHOR = {Massey, W. S. and Peterson, F. P.}, TITLE = {The {${\rm mod}\ 2$} cohomology structure of certain fibre spaces}, SERIES = {Memoirs of the American Mathematical Society, No. 74}, PUBLISHER = {American Mathematical Society, Providence, R.I.}, YEAR = {1967}, PAGES = {97}, MRCLASS = {55.50}, MRNUMBER = {0226637}, MRREVIEWER = {M. Mahowald}, } @unpublished{Mathew-DK, AUTHOR = {Mathew, Akhil}, TITLE = {The {Dold-Kan} correspondence}, YEAR = {2011}, NOTE = { Available online in the {Expository} writings section of the author's home page}, } @article {May-Clover, AUTHOR = {May, Clover}, TITLE = {A structure theorem for {$RO(C_2)$}-graded {B}redon cohomology}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {20}, YEAR = {2020}, NUMBER = {4}, PAGES = {1691--1728}, ISSN = {1472-2747,1472-2739}, MRCLASS = {55N91}, MRNUMBER = {4127082}, MRREVIEWER = {Nansen\ Petrosyan}, DOI = {10.2140/agt.2020.20.1691}, URL = {https://doi.org/10.2140/agt.2020.20.1691}, } @book {May:Simp, AUTHOR = {May, J. Peter}, TITLE = {Simplicial objects in algebraic topology}, SERIES = {Van Nostrand Mathematical Studies, No. 11}, PUBLISHER = {D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London}, YEAR = {1967}, PAGES = {vi+161}, MRCLASS = {55.40}, MRNUMBER = {0222892 (36 \#5942)}, MRREVIEWER = {A. K. Bousfield}, } @article {May:Matric, AUTHOR = {May, J. Peter}, TITLE = {Matric {M}assey products}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {12}, YEAR = {1969}, PAGES = {533--568}, ISSN = {0021-8693}, MRCLASS = {18.20 (55.00)}, MRNUMBER = {238929}, DOI = {10.1016/0021-8693(69)90027-1}, URL = {https://doi.org/10.1016/0021-8693(69)90027-1}, } @article {May:Class, AUTHOR = {May, J. Peter}, TITLE = {Classifying spaces and fibrations}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {1}, YEAR = {1975}, NUMBER = {1, 155}, PAGES = {xiii+98}, ISSN = {0065-9266}, MRCLASS = {55F15 (57F20)}, MRNUMBER = {0370579 (51 \#6806)}, MRREVIEWER = {Harold Hastings}, } @incollection {May:Operads, AUTHOR = {May, J. P.}, TITLE = {Operads, algebras and modules}, BOOKTITLE = {Operads: {P}roceedings of {R}enaissance {C}onferences ({H}artford, {CT}/{L}uminy, 1995)}, SERIES = {Contemp. Math.}, VOLUME = {202}, PAGES = {15--31}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1997}, MRCLASS = {18-02 (18D10 18G99 55-02 55P35 55U35)}, MRNUMBER = {1436914 (97m:18002)}, MRREVIEWER = {Richard John Steiner}, DOI = {10.1090/conm/202/02588}, URL = {http://dx.doi.org/10.1090/conm/202/02588}, } @incollection {May:Hare, AUTHOR = {May, J. P.}, TITLE = {The hare and the tortoise}, BOOKTITLE = {Homotopy invariant algebraic structures ({B}altimore, {MD}, 1998)}, SERIES = {Contemp. Math.}, VOLUME = {239}, PAGES = {9--13}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1999}, MRCLASS = {55-03 (01A70)}, MRNUMBER = {1718071}, DOI = {10.1090/conm/239/3592}, URL = {http://dx.doi.org/10.1090/conm/239/3592}, } @book {May:Concise, AUTHOR = {May, J. P.}, TITLE = {A concise course in algebraic topology}, SERIES = {Chicago Lectures in Mathematics}, PUBLISHER = {University of Chicago Press}, ADDRESS = {Chicago, IL}, YEAR = {1999}, PAGES = {x+243}, ISBN = {0-226-51182-0; 0-226-51183-9}, MRCLASS = {55-02 (18-02 57-02)}, MRNUMBER = {MR1702278 (2000h:55002)}, MRREVIEWER = {R. M. Vogt},} @ARTICLE {May, AUTHOR = {J. P. May}, TITLE = {The cohomology of restricted {Lie} algebras and of {Hopf} algebras}, JOURNAL = JAlg, VOLUME = {3}, PAGES = {123-146}, YEAR = {1966}} @article {May:80, AUTHOR = {May, J. P.}, TITLE = {Pairings of categories and spectra}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {19}, YEAR = {1980}, PAGES = {299--346}, ISSN = {0022-4049}, MRCLASS = {55P47 (18D10)}, MRNUMBER = {MR593258 (82c:55010)}, MRREVIEWER = {J. M. Boardman}, DOI = {10.1016/0022-4049(80)90105-X}, URL = {http://dx.doi.org/10.1016/0022-4049(80)90105-X}, } @book {May:Alaska, AUTHOR = {May, J. P.}, TITLE = {Equivariant homotopy and cohomology theory}, SERIES = {CBMS Regional Conference Series in Mathematics}, VOLUME = {91}, NOTE = {With contributions by M. Cole, G. Comeza{\~n}a, S. Costenoble, A. D. Elmendorf, J. P. C. Greenlees, L. G. Lewis, Jr., R. J. Piacenza, G. Triantafillou, and S. Waner}, PUBLISHER = {Published for the Conference Board of the Mathematical Sciences, Washington, DC}, YEAR = {1996}, PAGES = {xiv+366}, ISBN = {0-8218-0319-0}, MRCLASS = {55P91 (18G99 55N91 55U35)}, MRNUMBER = {MR1413302 (97k:55016)}, MRREVIEWER = {Ian Hambleton}, } @BOOK{May:loop, AUTHOR = {May, J. P.}, TITLE = {The geometry of iterated loop spaces}, NOTE = {Lectures Notes in Mathematics, Vol. 271}, PUBLISHER = {Springer-Verlag, Berlin-New York}, YEAR = {1972}, PAGES = {viii+175}, MRCLASS = {55D35}, MRNUMBER = {0420610 (54 \#8623b)}, MRREVIEWER = {J. Stasheff}, } @article {May-pairings, AUTHOR = {May, J. P.}, TITLE = {Pairings of categories and spectra}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {19}, YEAR = {1980}, PAGES = {299--346}, ISSN = {0022-4049}, MRCLASS = {55P47 (18D10)}, MRNUMBER = {593258}, MRREVIEWER = {J. M. Boardman}, DOI = {10.1016/0022-4049(80)90105-X}, URL = {http://dx.doi.org/10.1016/0022-4049(80)90105-X}, } @book {mayponto, AUTHOR = {May, J. P. and Ponto, K.}, TITLE = {More concise algebraic topology}, SERIES = {Chicago Lectures in Mathematics}, NOTE = {Localization, completion, and model categories}, PUBLISHER = {University of Chicago Press, Chicago, IL}, YEAR = {2012}, PAGES = {xxviii+514}, ISBN = {978-0-226-51178-8; 0-226-51178-2}, MRCLASS = {55-02 (16T05 18G55 55P60)}, MRNUMBER = {2884233}, MRREVIEWER = {Ismar Voli\'{c}}, } @article {Mazel-Gee16, AUTHOR = {Mazel-Gee, Aaron}, TITLE = {Quillen adjunctions induce adjunctions of quasicategories}, JOURNAL = {New York J. Math.}, FJOURNAL = {New York Journal of Mathematics}, VOLUME = {22}, YEAR = {2016}, PAGES = {57--93}, ISSN = {1076-9803}, MRCLASS = {18A40}, MRNUMBER = {3484677}, MRREVIEWER = {Srikanth\ B.\ Iyengar}, URL = {http://nyjm.albany.edu:8000/j/2016/22_57.html}, } @incollection {Mazur1, AUTHOR = {Mazur, B.}, TITLE = {Eigenvalues of {F}robenius acting on algebraic varieties over finite fields}, BOOKTITLE = {Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974)}, PAGES = {231--261}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, R.I.}, YEAR = {1975}, MRCLASS = {14G10 (14G13)}, MRNUMBER = {51 \#8113}, MRREVIEWER = {Michiel Hazewinkel}, } @book {MazMes, AUTHOR = {Mazur, B. and Messing, William}, TITLE = {Universal extensions and one dimensional crystalline cohomology}, NOTE = {Lecture Notes in Mathematics, Vol. 370}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1974}, PAGES = {vii+134}, MRCLASS = {14K05 (14F30 14G05 14L05)}, MRNUMBER = {51 \#10350}, MRREVIEWER = {S. Bloch}, } @ARTICLE{KMazur, AUTHOR = {Hill, Michael A. and Mazur, Kristen}, TITLE = {An equivariant tensor product on {M}ackey functors}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {223}, YEAR = {2019}, NUMBER = {12}, PAGES = {5310--5345}, ISSN = {0022-4049}, MRCLASS = {19A22 (18G99 20J05 55P91)}, MRNUMBER = {3975068}, MRREVIEWER = {J. P. C. Greenlees}, DOI = {10.1016/j.jpaa.2019.04.001}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1016/j.jpaa.2019.04.001}, } @article {McCandless-curves, AUTHOR = {McCandless, Jonas}, TITLE = {On curves in {K}-theory and {TR}}, JOURNAL = {J. Eur. Math. Soc. (JEMS)}, FJOURNAL = {Journal of the European Mathematical Society (JEMS)}, VOLUME = {26}, YEAR = {2024}, NUMBER = {11}, PAGES = {4315--4373}, ISSN = {1435-9855,1435-9863}, MRCLASS = {55P42 (13D03 16E40 19D55 55P43)}, MRNUMBER = {4780484}, DOI = {10.4171/jems/1347}, URL = {https://doi.org/10.4171/jems/1347}, } @article {McCarthy, AUTHOR = {McCarthy, Randy}, TITLE = {The cyclic homology of an exact category}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {93}, YEAR = {1994}, NUMBER = {3}, PAGES = {251--296}, ISSN = {0022-4049,1873-1376}, MRCLASS = {19D55 (18F25 18G60 19D10)}, MRNUMBER = {1275967}, MRREVIEWER = {Dominique\ Arlettaz}, DOI = {10.1016/0022-4049(94)90091-4}, URL = {https://doi.org/10.1016/0022-4049(94)90091-4}, } @ARTICLE {McMc, AUTHOR = {J. McCleary and D. A. McLaughlin}, TITLE = {Morava $K$-theory and the free loop space}, JOURNAL = PAMS, VOLUME = {114}, PAGES = {243-250}, YEAR = {1992 } } @UNPUBLISHED{MS, AUTHOR = {J. E. McClure and R. E. Staffeldt}, TITLE = {The chromatic convergence theorem and a tower in algebraic {$K$}-theory}, NOTE = {To appear in Proceedings of the American Mathematical Society}} @article {MSV97, AUTHOR = {McClure, J. and Schw\"anzl, R. and Vogt, R.}, TITLE = {{$THH(R)\cong R\otimes S^1$} for {$E_\infty$} ring spectra}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {121}, YEAR = {1997}, NUMBER = {2}, PAGES = {137--159}, ISSN = {0022-4049,1873-1376}, MRCLASS = {55P42 (19D10 19D55)}, MRNUMBER = {1473888}, MRREVIEWER = {J.\ P. C. Greenlees}, DOI = {10.1016/S0022-4049(97)00118-7}, URL = {https://doi.org/10.1016/S0022-4049(97)00118-7}, } @ARTICLE {MeyerI, AUTHOR = {J.-P. Meyer}, TITLE = {Bar and cobar constructions, {I}}, JOURNAL =JPAA, VOLUME = {33}, PAGES = {163-207}, YEAR = {1984} } @article {McCord, AUTHOR = {McCord, M. C.}, TITLE = {Classifying spaces and infinite symmetric products}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {146}, YEAR = {1969}, PAGES = {273--298}, ISSN = {0002-9947}, MRCLASS = {55.30}, MRNUMBER = {MR0251719 (40 \#4946)}, MRREVIEWER = {A. Dold}, } @ARTICLE {MeyerII, AUTHOR = {J.-P. Meyer}, TITLE = {Bar and cobar constructions, {II}}, JOURNAL =JPAA, VOLUME = {43}, PAGES = {179-210}, YEAR = {1986} } @incollection {Mil:Fin, AUTHOR = {Miller, Haynes}, TITLE = {Finite localizations}, NOTE = {Papers in honor of Jos\'{e} Adem (Spanish)}, JOURNAL = {Bol. Soc. Mat. Mexicana (2)}, FJOURNAL = {Bolet\'{\i}n de la Sociedad Matem\'{a}tica Mexicana. Segunda Serie}, VOLUME = {37}, YEAR = {1992}, NUMBER = {1-2}, PAGES = {383--389}, MRCLASS = {55P60}, MRNUMBER = {1317588}, } AUTHOR = {Miller, Haynes R.}, TITLE = {Finite localizations}, JOURNAL =BSMM, VOLUME = {37}, PAGES = {383-389}, YEAR = {1992 } } @proceedings {Ell2002, TITLE = {Elliptic Cohomology Geometry, Applications, and Higher Chromatic Analogues}, SERIES = {London Mathematical Society Lecture Note Series}, VOLUME = {342}, BOOKTITLE = {Elliptic Cohomology Geometry, Applications, and Higher Chromatic Analogues}, EDITOR = {Miller, Haynes R. and Ravenel, Douglas C.}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2007}, PAGES = {380}, ISBN = {9780521700405}, MRCLASS = {}, MRNUMBER = {}, } @book {HHT, TITLE = {Handbook of homotopy theory}, EDITOR = {Miller, Haynes R. }, SERIES = {CRC Press/Chapman and Hall Handbooks in Mathematics Series}, PUBLISHER = {CRC Press, Boca Raton, FL}, YEAR = {[2020] \copyright 2020}, PAGES = {982}, ISBN = {978-0-815-36970-7}, MRCLASS = {55-02 (55-06)}, MRNUMBER = {4197980}, } @ARTICLE {MilRav, AUTHOR = {Miller, Haynes R. and Ravenel, Douglas C.}, TITLE = {Morava stabilizer algebras and the localization of {N}ovikov's {$E_{2}$}-term}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {44}, YEAR = {1977}, NUMBER = {2}, PAGES = {433--447}, ISSN = {0012-7094}, MRCLASS = {55B20 (55H15)}, MRNUMBER = {0458410 (56 \#16613)}, MRREVIEWER = {David C. Johnson}, } @ARTICLE {MRW, AUTHOR = {Miller, Haynes R. and Ravenel, Douglas C. and Wilson, W. Stephen}, TITLE = {Periodic phenomena in the {A}dams-{N}ovikov spectral sequence}, JOURNAL = {Ann. Math. (2)}, VOLUME = {106}, YEAR = {1977}, NUMBER = {3}, PAGES = {469--516}, MRCLASS = {55E45 (55H15)}, MRNUMBER = {0458423 (56 \#16626)}, MRREVIEWER = {J. F. Adams}, } @ARTICLE {MRW1, AUTHOR = {Miller, Haynes R. and Ravenel, Douglas C. and W. S. Wilson}, TITLE = {Novikov's {$\mbox{Ext}^2$} and the non-triviality of the gamma family}, JOURNAL = BAMS, VOLUME = {81}, PAGES = {1073-1075}, YEAR = {1975} } @ARTICLE {MW, AUTHOR = {Miller, Haynes R. and W. S. Wilson}, TITLE = {On {Novikov's} {$\mbox{Ext}\sp{1}$} modulo an invariant prime ideal}, JOURNAL = Top, VOLUME = {15}, PAGES = {131-141}, YEAR = {1976} } @ARTICLE {Mlr:Loc, AUTHOR = {Miller, Haynes R.}, TITLE = {A localization theorem in homological algebra}, JOURNAL =MPCPS, VOLUME = {84}, PAGES = {73-84}, YEAR = {1978 } } @ARTICLE {Mlr:Rel, AUTHOR = {Miller, Haynes R.}, TITLE = {On relations between {Adams} spectral sequences, with an application to the stable homotopy of a {Moore} space}, JOURNAL = JPAA, VOLUME = {20}, PAGES = {287-312}, YEAR = {1981 } } @ARTICLE {MilSna, AUTHOR = {Miller, Haynes R. and V. P. Snaith}, TITLE = {On the {$K$}-theory of the {Kahn-Priddy} map}, JOURNAL =JLMS, VOLUME = {20}, PAGES = {339-342}, YEAR = {1979 } } @ARTICLE {MilWil, AUTHOR = {Miller, Haynes R. and C. Wilkerson}, TITLE = {Vanishing lines for modules over the {Steenrod} algebra}, JOURNAL =JPAA, VOLUME = {22}, PAGES = {293-307}, YEAR = {1981 } } @ARTICLE {Mlr:Sul, AUTHOR = {Miller, Haynes R.}, TITLE = {The {Sullivan} conjecture on maps from classifying spaces}, JOURNAL = AM, VOLUME = {120}, PAGES = {39-87}, YEAR = {1984 }, NOTE = {Correction in {{\em Ibid.}} 121(1985), 605--609}} @UNPUBLISHED{MlrFin, AUTHOR = {Miller, Haynes R.}, TITLE = {Finite localizations}, NOTE = {To appear} } @article {miller10, AUTHOR = {Miller, Haynes R.}, TITLE = {The {S}ullivan conjecture on maps from classifying spaces}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {120}, YEAR = {1984}, NUMBER = {1}, PAGES = {39--87}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {55R35 (55T15)}, MRNUMBER = {85i:55012}, MRREVIEWER = {Gunnar Carlsson}, } @article {HRM:Bourbaki, AUTHOR = {Miller, Haynes}, TITLE = {Kervaire invariant one [after {M}. {A}. {H}ill, {M}. {J}. {H}opkins, and {D}. {C}. {R}avenel]}, NOTE = {S\'{e}minaire Bourbaki: Vol. 2010/2011. Expos\'{e}s 1027--1042}, JOURNAL = {Ast\'{e}risque}, FJOURNAL = {Ast\'{e}risque}, NUMBER = {348}, YEAR = {2012}, PAGES = {Exp. No. 1029, vii, 65--98}, ISSN = {0303-1179}, ISBN = {978-2-85629-351-5}, MRCLASS = {55Q45 (55P91 55Q91 57R55 57R60 57R77 57R85)}, MRNUMBER = {3050712}, MRREVIEWER = {J. P. C. Greenlees}, } @article {miller-burnside, AUTHOR = {Miller, Haynes}, TITLE = {The {B}urnside bicategory of groupoids}, JOURNAL = {Bol. Soc. Mat. Mex. (3)}, FJOURNAL = {Bolet\'{i}n de la Sociedad Matem\'{a}tica Mexicana. Third Series}, VOLUME = {23}, YEAR = {2017}, NUMBER = {1}, PAGES = {173--194}, ISSN = {1405-213X}, MRCLASS = {18B40 (20J15 20L05 55P42)}, MRNUMBER = {3633132}, MRREVIEWER = {Josep Elgueta}, DOI = {10.1007/s40590-016-0143-5}, URL = {https://doi.org/10.1007/s40590-016-0143-5}, } @incollection {Milne:Jac, AUTHOR = {Milne, J. S.}, TITLE = {Jacobian varieties}, BOOKTITLE = {Arithmetic geometry (Storrs, Conn., 1984)}, PAGES = {167--212}, PUBLISHER = {Springer}, ADDRESS = {New York}, YEAR = {1986}, MRCLASS = {14H40}, MRNUMBER = {MR861976}, } @article {Milnor:Bundles, AUTHOR = {Milnor, John}, TITLE = {Construction of universal bundles. {II}}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {63}, YEAR = {1956}, PAGES = {430--436}, ISSN = {0003-486X}, MRCLASS = {55.0X}, MRNUMBER = {MR0077932 (17,1120a)}, MRREVIEWER = {J. Dugundji}, } @ARTICLE {MilA, AUTHOR = {Milnor, John}, TITLE = {The {S}teenrod algebra and its dual}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {67}, YEAR = {1958}, PAGES = {150--171}, ISSN = {0003-486X}, MRCLASS = {55.00 (18.00)}, MRNUMBER = {MR0099653 (20 \#6092)}, MRREVIEWER = {G. Hirsch}, } @ARTICLE {Mil:CW, AUTHOR = {Milnor, John}, TITLE = {On spaces having the homotopy type of a {${\rm CW}$}-complex}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {90}, YEAR = {1959}, PAGES = {272--280}, ISSN = {0002-9947}, MRCLASS = {55.00}, MRNUMBER = {MR0100267 (20 \#6700)}, MRREVIEWER = {V. Gugenheim}, } @ARTICLE {Mil:SES, AUTHOR = {J. W. Milnor}, TITLE = {On axiomatic homology theory}, JOURNAL ={Pacific J. Math.}, VOLUME = {12}, PAGES = {337-341}, YEAR = {1962} } @book {Mil:Morse, AUTHOR = {Milnor, J.}, TITLE = {Morse theory}, SERIES = {Annals of Mathematics Studies}, VOLUME = {No. 51}, NOTE = {Based on lecture notes by M. Spivak and R. Wells}, PUBLISHER = {Princeton University Press, Princeton, NJ}, YEAR = {1963}, PAGES = {vi+153}, MRCLASS = {57.50 (53.72)}, MRNUMBER = {163331}, MRREVIEWER = {H.\ I.\ Levine}, } @INPROCEEDINGS{Hairy, AUTHOR = {J. W. Milnor}, TITLE = {Self-similarity and hairiness in the {Mandelbrot} set}, BOOKTITLE = {Computers in Geometry and Topology}, EDITOR = {M. C. Tangora}, PAGES = {211-257}, YEAR = {1989 } } @ARTICLE {MM, AUTHOR = {J. W. Milnor and J. C. Moore}, TITLE = {On the structure of {Hopf} algebras}, JOURNAL = AM, VOLUME = {81}, NUMBER = {2}, PAGES = {211-264}, YEAR = {1965} } @ARTICLE {Mil:MU, AUTHOR = {Milnor, J.}, TITLE = {On the cobordism ring {$\Omega ^{\ast} $} and a complex analogue. {I}}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {82}, YEAR = {1960}, PAGES = {505--521}, ISSN = {0002-9327}, MRCLASS = {55.00}, MRNUMBER = {MR0119209 (22 \#9975)}, MRREVIEWER = {J. F. Adams}, } @article {Milnor-S7, AUTHOR = {Milnor, John}, TITLE = {On manifolds homeomorphic to the {$7$}-sphere}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {64}, YEAR = {1956}, PAGES = {399--405}, ISSN = {0003-486X}, MRCLASS = {55.0X}, MRNUMBER = {0082103 (18,498d)}, MRREVIEWER = {J. C. Moore}, } @BOOK{MilSta, AUTHOR = {Milnor, John W. and Stasheff, James D.}, TITLE = {Characteristic classes}, NOTE = {Annals of Mathematics Studies, No. 76}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N. J.}, YEAR = {1974}, PAGES = {vii+331}, MRCLASS = {57-01 (55-02 55F40 57D20)}, MRNUMBER = {MR0440554 (55 \#13428)}, MRREVIEWER = {F. Hirzebruch}, } @incollection {Mimura95, AUTHOR = {Mimura, Mamoru}, TITLE = {Homotopy theory of {L}ie groups}, BOOKTITLE = {Handbook of algebraic topology}, PAGES = {951--991}, PUBLISHER = {North-Holland, Amsterdam}, YEAR = {1995}, ISBN = {0-444-81779-4}, MRCLASS = {57T10 (55M30 55P45 55Q52 55T20)}, MRNUMBER = {1361904}, MRREVIEWER = {Peter\ J.\ Eccles}, DOI = {10.1016/B978-044481779-2/50020-1}, URL = {https://doi.org/10.1016/B978-044481779-2/50020-1}, } @article {Minami-Doomsday, AUTHOR = {Minami, Norihiko}, TITLE = {The {A}dams spectral sequence and the triple transfer}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {117}, YEAR = {1995}, NUMBER = {4}, PAGES = {965--985}, ISSN = {0002-9327}, MRCLASS = {55T15 (55R12)}, MRNUMBER = {1342837}, MRREVIEWER = {Donald M. Davis}, DOI = {10.2307/2374955}, URL = {https://doi.org/10.2307/2374955}, } @book {Mislin-book, TITLE = {Guido's book of conjectures}, EDITOR = {Chatterji, Indira}, SERIES = {Monographies de L'Enseignement Math\'{e}matique [Monographs of L'Enseignement Math\'{e}matique]}, VOLUME = {40}, NOTE = {A gift to Guido Mislin on the occasion of his retirement from ETHZ, June 2006}, PUBLISHER = {L'Enseignement Math\'{e}matique, Geneva}, YEAR = {2008}, PAGES = {189}, ISBN = {2-940264-07-4}, MRCLASS = {00A07 (20-02 22-02 55-02)}, MRNUMBER = {2499538}, } @ARTICLE {Mit, AUTHOR = {S. A. Mitchell}, TITLE = {Finite complexes with {$A(n)$}-free cohomology}, JOURNAL = Top, VOLUME = {24}, PAGES = {227-248}, YEAR = {1985} } @UNPUBLISHED{Mit:LQ, AUTHOR = {S. A. Mitchell}, TITLE = {On the {Lichtenbaum-Quillen} conjectures from a stable homotopy-theoretic viewpoint}, NOTE = {To appear in {\bf Topics in Algebraic Topology and its Applications}, MSRI publication series, Springer Verlag (1992).} } @UNPUBLISHED{Mit:Harm, AUTHOR = {S. A. Mitchell}, TITLE = {Harmonic localization of algebraic {$K$-theory} spectra}, NOTE = {To appear in Transactions of the American Mathematical Society} } @ARTICLE {Mit:K(n), AUTHOR = {S. A. Mitchell}, TITLE = {The {Morava $K$-theory} of algebraic {$K$-theory} spectra}, JOURNAL = KT, VOLUME = {3}, PAGES = {607-626}, YEAR = {1990 } } @ARTICLE {MitShi, AUTHOR = {H. Mitsui and K. Shimomura}, TITLE = {{The Ext groups $H^0M^1_2(1)$}}, JOURNAL = {J. Fac. Educ. Tottori Univ. (Nat. Sci.)}, VOLUME = {42}, PAGES = {85-101}, YEAR = {1993 } } @ARTICLE {Moe-Sve93, author = {Moerdijk, I. and Svensson, Jan Alve}, year = {1993}, month = {05}, pages = {263-263}, title = {The Equivariant Serre Spectral Sequence}, volume = {118}, journal = {Proceedings of the American Mathematical Society}, doi = {10.2307/2160037} } @article {Moerdijk-Weiss07, AUTHOR = {Moerdijk, Ieke and Weiss, Ittay}, TITLE = {Dendroidal sets}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {7}, YEAR = {2007}, PAGES = {1441--1470}, ISSN = {1472-2747,1472-2739}, MRCLASS = {55P48 (18D10 18G30 55U10 55U40)}, MRNUMBER = {2366165}, DOI = {10.2140/agt.2007.7.1441}, URL = {https://doi.org/10.2140/agt.2007.7.1441}, } @UNPUBLISHED{MN, AUTHOR = {J. C. Moore and J. A. Neisendorfer}, TITLE = {}, NOTE = {To appear} } @ARTICLE {MP, AUTHOR = {J. C. Moore and F. P. Peterson}, TITLE = {Nearly {Frobenius} algebras, {Poincar\'e} algebras and their modules}, JOURNAL = JPAA, VOLUME = {3}, PAGES = {83-93}, YEAR = {1973}, } @unpublished{Mor23, AUTHOR = {Mor, Itamar}, TITLE = {Picard and {Brauer} groups of {$K(n)$}-local spectra via profinite {Galois} descent}, URL = {https://arxiv.org/abs/2306.05393}, YEAR = {2023 } , } @ARTICLE {Morava, AUTHOR = {Morava, Jack}, TITLE = {Noetherian localisations of categories of cobordism comodules}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {121}, YEAR = {1985}, NUMBER = {1}, PAGES = {1--39}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {55N22 (14L05 14L15 57R77)}, MRNUMBER = {782555 (86g:55004)}, MRREVIEWER = {Douglas C. Ravenel}, DOI = {10.2307/1971192}, URL = {http://dx.doi.org/10.2307/1971192}, } @article {Morel:ASS, AUTHOR = {Morel, Fabien}, TITLE = {Suite spectrale d'{A}dams et invariants cohomologiques des formes quadratiques}, JOURNAL = {C. R. Acad. Sci. 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Soc.}, ADDRESS = {Providence, RI}, YEAR = {2002}, MRCLASS = {55P42 (55Q10)}, MRNUMBER = {MR1890739 (2003f:55009)}, MRREVIEWER = {Mark Hovey}, NOTE = {Also available online at \url{https://people.math.rochester.edu/faculty/doug/mypapers/id1.pdf}}, NOTE = {Preprint available online at author's home page}, } @UNPUBLISHED{Rav:Ch7III, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The Method of Infinite Descent in Stable Homotopy Theory {III}}, NOTE = {To appear}} @ARTICLE {Rav:Cyclic, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The {Segal} conjecture for cyclic groups and its consequences}, JOURNAL = AJM, VOLUME = {106}, PAGES = {415-446}, YEAR = {1984 } } @ARTICLE {Rav:FAM, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Formal {$A$}-modules and the {A}dams-{N}ovikov spectral sequence}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {32}, YEAR = {1984}, NUMBER = {3}, PAGES = {327--345}, ISSN = {0022-4049}, CODEN = {JPAAA2}, MRCLASS = {55T99 (55Q10)}, MRNUMBER = {745362 (86a:55023)}, MRREVIEWER = {Frederick Cohen}, DOI = {10.1016/0022-4049(84)90096-3}, URL = {http://dx.doi.org/10.1016/0022-4049(84)90096-3}, } @UNPUBLISHED{Rav:First, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The first differential in the {Adams--Novikov} spectral sequence for the spectrum {$T(m)$}}, NOTE = {Preprint available online at author's home page }} @INPROCEEDINGS{Rav:Geo, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The geometric realization of the chromatic resolution}, BOOKTITLE = {Algebraic topology and algebraic {K}-theory}, EDITOR = {W. Browder}, PAGES = {168-179}, SERIES = AMStud, VOLUME = {113}, PUBLISHER = PUP, ADDRESS = {Princeton}, YEAR = {1987 } } @INPROCEEDINGS{Rav:HA, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Dieudonn\'e modules for Abelian Hopf algebras}, PAGES = {177-194}, SERIES = {Serie notas de matem\'atica y simposia}, BOOKTITLE = { Reunion Sobre Teoria de homotopia, Universidad de Northwestern, Agosto 1974}, NUMBER = {1}, EDITOR = {D. Davis}, PUBLISHER = {Sociedad Matematica Mexicana}, ADDRESS = {Mexico, D.F.}, YEAR = {1975} } @INPROCEEDINGS{Rav:HHG, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Homotopy groups of spheres on a small computer}, BOOKTITLE = {Computers in Geometry and Topology}, EDITOR = {M. C. Tangora}, PAGES = {259-284}, YEAR = {1989 } } @INPROCEEDINGS{Rav:High, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Toward higher chromatic analogs of elliptic cohomology}, BOOKTITLE = {Elliptic cohomology}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {342}, PAGES = {286--305}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {2007}, MRCLASS = {55N34 (14Hxx 55N22)}, MRNUMBER = {MR2330518}} @ARTICLE {Rav:High2, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Toward higher chromatic analogs of elliptic cohomology. {II}}, JOURNAL = {Homology, Homotopy Appl.}, FJOURNAL = {Homology, Homotopy and Applications}, VOLUME = {10}, YEAR = {2008}, NUMBER = {3}, PAGES = {335--368}, ISSN = {1532-0073}, MRCLASS = {55N34 (55N22)}, MRNUMBER = {MR2475628}, } @INPROCEEDINGS{Rav:JFA, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Progress report on the telescope conjecture}, BOOKTITLE = {Adams Memorial Symposium on Algebraic Topology Volume 2}, EDITOR = {N. Ray and G. Walker}, PAGES = {1-21}, VOLUME = {176}, SERIES = LMSLNS, PUBLISHER = CUP, ADDRESS = {Cambridge}, YEAR = {1992 } } @incollection {Rav:KNBG, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Morava {$K$}-theories and finite groups}, BOOKTITLE = {Symposium on {A}lgebraic {T}opology in honor of {J}os\'e{} {A}dem ({O}axtepec, 1981)}, SERIES = {Contemp. Math.}, VOLUME = {12}, PAGES = {289--292}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1982}, ISBN = {0-8218-5010-5}, MRCLASS = {55N15}, MRNUMBER = {676336}, } @ARTICLE {Rav:Loc, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Localization with respect to certain periodic homology theories}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {106}, YEAR = {1984}, NUMBER = {2}, PAGES = {351--414}, ISSN = {0002-9327}, CODEN = {AJMAAN}, MRCLASS = {55P42}, MRNUMBER = {737778 (85k:55009)}, MRREVIEWER = {J. F. Adams}, DOI = {10.2307/2374308}, URL = {http://dx.doi.org/10.2307/2374308}, } @INPROCEEDINGS{Rav:LPH, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Localization and periodicity in stable homotopy theory}, BOOKTITLE = {Homotopy Theory Proceedings, Durham 1985}, EDITOR = {E. Rees and J. D. S. Jones}, VOLUME = {117}, SERIES = LMSLNS, PAGES = {175-194}, PUBLISHER = CUP, ADDRESS = {Cambridge}, YEAR = {1987} } @INPROCEEDINGS{Rav:Loop, AUTHOR = {Ravenel, Douglas C.}, TITLE = {What we still don't know about loop spaces of spheres}, BOOKTITLE = {Homotopy theory via algebraic geometry and group representations}, EDITOR = {M. E. Mahowald and S. B. Priddy}, VOLUME = {222}, SERIES = ConMath, PAGES = {275-292}, PUBLISHER = AMS, ADDRESS = Prov, YEAR = {1998} } @INPROCEEDINGS{Rav:micro, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The microstable {A}dams-{N}ovikov spectral sequence}, BOOKTITLE = {Une d\'egustation topologique [Topological morsels]: homotopy theory in the Swiss Alps (Arolla, 1999)}, SERIES = {Contemp. Math.}, VOLUME = {265}, PAGES = {193--209}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2000}, MRCLASS = {55Q10 (55N22 55Q45 55Q51 55T15)}, MRNUMBER = {MR1803959 (2002b:55024)}, MRREVIEWER = {Haynes R. Miller}, } @BOOK{Rav:MU, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Complex cobordism and stable homotopy groups of spheres}, SERIES = {Pure and Applied Mathematics}, VOLUME = {121}, PUBLISHER = {Academic Press Inc.}, ADDRESS = {Orlando, FL}, YEAR = {1986}, PAGES = {xx+413}, ISBN = {0-12-583430-6; 0-12-583431-4}, MRCLASS = {55-02 (55Qxx 57-02)}, MRNUMBER = {MR860042 (87j:55003)}, MRREVIEWER = {Joseph Neisendorfer}, NOTE = {Second edition available online at author's home page.}} @BOOK{Rav:MU2, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Complex Cobordism and Stable Homotopy Groups of Spheres, Second Edition}, PUBLISHER = AMS, ADDRESS = {Providence}, YEAR = {2004}, NOTE = {Available online at the author's home page }} @BOOK{Rav:NP, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Nilpotence and periodicity in stable homotopy theory}, SERIES = {Annals of Mathematics Studies}, VOLUME = {128}, NOTE = {Appendix C by Jeff Smith}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1992}, PAGES = {xiv+209}, ISBN = {0-691-02572-X}, MRCLASS = {55P42 (55N22 55Q10 57R77)}, MRNUMBER = {1192553 (94b:55015)}, MRREVIEWER = {N. J. Kuhn}, } @UNPUBLISHED{Rav:PASS, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The parametrized {Adams} spectral sequence}, NOTE = {To appear} } @ARTICLE {Rav:pCells, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The {A}dams-{N}ovikov {$E_2$}-term for a complex with {$p$}-cells}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {107}, YEAR = {1985}, NUMBER = {4}, PAGES = {933--968}, ISSN = {0002-9327}, MRCLASS = {55Q10 (55T15)}, MRNUMBER = {796908}, MRREVIEWER = {Haynes R. Miller}, DOI = {10.2307/2374362}, URL = {https://doi-org.ezp.lib.rochester.edu/10.2307/2374362}, } @article {Rav:Quillen, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Quillen's work on formal group laws and complex cobordism theory}, JOURNAL = {J. K-Theory}, FJOURNAL = {Journal of K-Theory. K-Theory and its Applications in Algebra, Geometry, Analysis \& Topology}, VOLUME = {11}, YEAR = {2013}, NUMBER = {3}, PAGES = {493--506}, ISSN = {1865-2433}, MRCLASS = {55-03 (01A70 14L05 55N22 55N35 57R77)}, MRNUMBER = {3101402}, DOI = {10.1017/is011001005jkt209}, URL = {http://dx.doi.org/10.1017/is011001005jkt209}, } @ARTICLE {Rav:rightunit, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The structure of {${\rm BP}\sb\ast {\rm BP}$} modulo an invariant prime ideal}, JOURNAL = {Topology}, FJOURNAL = {Topology. An International Journal of Mathematics}, VOLUME = {15}, YEAR = {1976}, NUMBER = {2}, PAGES = {149--153}, ISSN = {0040-9383}, MRCLASS = {55B20}, MRNUMBER = {420598}, MRREVIEWER = {P. S. Landweber}, DOI = {10.1016/0040-9383(76)90004-5}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1016/0040-9383(76)90004-5}, } @ARTICLE {Rav:SU, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The homology and {M}orava {$K$}-theory of {$\Omega^2{\rm SU}(n)$}}, JOURNAL = {Forum Math.}, FJOURNAL = {Forum Mathematicum}, VOLUME = {5}, YEAR = {1993}, NUMBER = {1}, PAGES = {1--21}, ISSN = {0933-7741}, MRCLASS = {55R40 (55P35)}, MRNUMBER = {1199020}, MRREVIEWER = {N. J. Kuhn}, DOI = {10.1515/form.1993.5.1}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1515/form.1993.5.1}, } @ARTICLE {Rav:Cohomology, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The cohomology of the {M}orava stabilizer algebras}, JOURNAL = {Math. Z.}, FJOURNAL = {Mathematische Zeitschrift}, VOLUME = {152}, YEAR = {1977}, NUMBER = {3}, PAGES = {287--297}, ISSN = {0025-5874}, MRCLASS = {55G25}, MRNUMBER = {431168}, MRREVIEWER = {A. Liulevicius}, DOI = {10.1007/BF01488970}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1007/BF01488970}, } @ARTICLE {Rav:Structure, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The structure of {M}orava stabilizer algebras}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {37}, YEAR = {1976}, NUMBER = {2}, PAGES = {109--120}, ISSN = {0020-9910}, MRCLASS = {55G25}, MRNUMBER = {420619}, MRREVIEWER = {J. F. Adams}, DOI = {10.1007/BF01418965}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1007/BF01418965}, } @UNPUBLISHED{Rav:TC, AUTHOR = {Ravenel, Douglas C.}, TITLE = {A counterexample to the telescope conjecture}, NOTE = {To appear} } @INPROCEEDINGS{Rav:Var, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Some variations on the telescope conjecture}, BOOKTITLE = {The \v{C}ech Centennial}, EDITOR = {Mila Cenkl and Haynes Miller}, PAGES = {391-405}, PUBLISHER = AMS, SERIES = ConMath, VOLUME = {181}, YEAR = {1995}, ADDRESS = Prov} @UNPUBLISHED{Rav:Beta, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The beta family in the {EHP} sequence}, NOTE = {To appear} } @UNPUBLISHED{Rav:EHPF, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The {EHP} Sequence and the Stable Homotopy of Finite Complexes}, NOTE = {To appear} } @UNPUBLISHED{Rav:EHPJ, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Streamlining the {EHP} Sequence by Excluding $v_1$-Periodicity}, NOTE = {To appear} } @UNPUBLISHED{Rav:Comp, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Computations with the streamlined {EHP} sequence}, NOTE = {To appear} } @UNPUBLISHED{Rav:Prog, AUTHOR = {Ravenel, Douglas C.}, TITLE = {A program for the interactive computation of the homotopy groups of spheres}, NOTE = {To appear} } @UNPUBLISHED{Rav:Ch7, AUTHOR = {Ravenel, Douglas C.}, TITLE = {The method of infinite descent in stable homotopy theory. {I}}, BOOKTITLE = {Recent progress in homotopy theory (Baltimore, MD, 2000)}, SERIES = {Contemp. Math.}, VOLUME = {293}, PAGES = {251--284}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2002}, MRCLASS = {55P42 (55Q10)}, MRNUMBER = {MR1890739 (2003f:55009)}, MRREVIEWER = {Mark Hovey} } @ARTICLE {RW:CF, AUTHOR = {Ravenel, Douglas C. and Wilson, W. Stephen}, TITLE = {The {M}orava {$K$}-theories of {E}ilenberg-{M}ac {L}ane spaces and the {C}onner-{F}loyd conjecture}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {102}, YEAR = {1980}, NUMBER = {4}, PAGES = {691--748}, ISSN = {0002-9327}, CODEN = {AJMAAN}, MRCLASS = {55N20 (55P20 55T20 57R85)}, MRNUMBER = {584466 (81i:55005)}, MRREVIEWER = {J. F. Adams}, DOI = {10.2307/2374093}, URL = {http://dx.doi.org/10.2307/2374093}, } @INPROCEEDINGS{Rav:LL, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Life after the telescope conjecture}, BOOKTITLE = {Algebraic K-Theory and Algebraic Topology}, EDITOR = {P. G. Goerss and J. F. Jardine}, PAGES = {205-222}, PUBLISHER = {Kluwer Academic Publishers}, SERIES = {{Series C: Mathematical and Physical Sciences}}, VOLUME = {407}, YEAR = {1993} } @ARTICLE{Rav:Whatis, AUTHOR = {Ravenel, Douglas C.}, TITLE = {What is an {$\infty$}-category?}, JOURNAL = {Grad. J. Math.}, FJOURNAL = {The Graduate Journal of Mathematics}, VOLUME = {8}, YEAR = {2023}, NUMBER = {2}, PAGES = {1--14}, ISSN = {2724-6841}, MRCLASS = {18N60 (18N50 18N55 55P60 55U40)}, MRNUMBER = {4694539}, } @unpublished{Rav:gjmcyc, AUTHOR = {Ravenel, Douglas C.}, TITLE = {What are cyclotomic spectra and why do we need them?}, YEAR = {2025}, NOTE = {to appear}, } @unpublished{Rav:gjmcyc-ext, AUTHOR = {Ravenel, Douglas C.}, TITLE = {Cyclotomic extensions in stable homotopy theory}, YEAR = {2025}, NOTE = {to appear}, } @ARTICLE {RW:Bi, AUTHOR = {Ravenel, Douglas C. and Wilson, W. Stephen}, TITLE = {Bipolynomial {H}opf algebras}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {4}, YEAR = {1974}, PAGES = {41--45}, ISSN = {0022-4049}, MRCLASS = {16A24}, MRNUMBER = {340320}, MRREVIEWER = {Kenneth Newman}, DOI = {10.1016/0022-4049(74)90028-0}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1016/0022-4049(74)90028-0}, } @ARTICLE {RW:HR, AUTHOR = {Ravenel, Douglas C. and Wilson, W. Stephen}, TITLE = {The {H}opf ring for complex cobordism}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {9}, YEAR = {1976/77}, NUMBER = {3}, PAGES = {241--280}, ISSN = {0022-4049}, MRCLASS = {55B20 (57D90)}, MRNUMBER = {448337}, MRREVIEWER = {J. F. Adams}, DOI = {10.1016/0022-4049(77)90070-6}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1016/0022-4049(77)90070-6}, } @ARTICLE {RW:PN, AUTHOR = {Ravenel, Douglas C. and Wilson, W. Stephen}, TITLE = {The {H}opf ring for {$P(n)$}}, JOURNAL = {Canad. J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques}, VOLUME = {48}, YEAR = {1996}, NUMBER = {5}, PAGES = {1044--1063}, ISSN = {0008-414X}, MRCLASS = {55N22 (55N20)}, MRNUMBER = {1414070}, MRREVIEWER = {Haynes R. Miller}, DOI = {10.4153/CJM-1996-054-2}, URL = {https://doi-org.ezp.lib.rochester.edu/10.4153/CJM-1996-054-2}, } @ARTICLE{RWY, AUTHOR = {Ravenel, Douglas C. and Wilson, W. Stephen and Yagita, Nobuaki}, TITLE = {Brown-{P}eterson cohomology from {M}orava {$K$}-theory}, JOURNAL = {$K$-Theory}, FJOURNAL = {$K$-Theory. An Interdisciplinary Journal for the Development, Application, and Influence of $K$-Theory in the Mathematical Sciences}, VOLUME = {15}, YEAR = {1998}, NUMBER = {2}, PAGES = {147--199}, ISSN = {0920-3036,1573-0514}, MRCLASS = {55N20 (55N15 55N22 55P20)}, MRNUMBER = {1648284}, MRREVIEWER = {David\ C.\ Johnson}, DOI = {10.1023/A:1007776725714}, URL = {https://doi.org/10.1023/A:1007776725714}, } @ARTICLE {Rector, AUTHOR = {D. L. Rector}, TITLE = {Steenrod operations in the {Eilenberg-Moore} spectral sequence}, JOURNAL = CMH, VOLUME = {45}, PAGES = {540-552}, YEAR = {1970 } } @UNPUBLISHED{Reedy, author = {C. L. Reedy}, title = {Homotopy theory of model categories}, NOTE = {\url{http://www-math.mit.edu/~psh/reedy.pdf}}, year = {1974} } @UNPUBLISHED{Rezk-qcat, AUTHOR = {Rezk, Charles}, title = {Higher Category Theory and Quasicategories}, NOTE = {\url{https://rezk.web.illinois.edu/595-sp22/math-595-sp22.html}}, year = {2022} } @incollection {Rezk, AUTHOR = {Rezk, Charles}, TITLE = {Notes on the {H}opkins-{M}iller theorem}, BOOKTITLE = {Homotopy theory via algebraic geometry and group representations (Evanston, IL, 1997)}, SERIES = {Contemp. Math.}, VOLUME = {220}, PAGES = {313--366}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1998}, MRCLASS = {55N22 (55S99)}, MRNUMBER = {2000i:55023}, } @UNPUBLISHED{Richter, AUTHOR = {William Richter}, TITLE = {Lambda algebra unstable composition products and the {Lambda EHP} sequence}, NOTE = {\url{http://hopf.math.purdue.edu/cgi-bin/generate?/Richter/Richter-Lambda-EHP}} } @article {RicDual, AUTHOR = {Ricka, Nicolas}, TITLE = {Equivariant {A}nderson duality and {M}ackey functor duality}, JOURNAL = {Glasg. Math. J.}, FJOURNAL = {Glasgow Mathematical Journal}, VOLUME = {58}, YEAR = {2016}, NUMBER = {3}, PAGES = {649--676}, ISSN = {0017-0895}, MRCLASS = {55N20 (19L47 55P42 55P92 55T25)}, MRNUMBER = {3530492}, MRREVIEWER = {Rui Miguel Saramago}, DOI = {10.1017/S0017089515000397}, URL = {http://dx.doi.org/10.1017/S0017089515000397}, } @book {Riehl, AUTHOR = {Riehl, Emily}, TITLE = {Categorical homotopy theory}, SERIES = {New Mathematical Monographs}, VOLUME = {24}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2014}, PAGES = {xviii+352}, ISBN = {978-1-107-04845-4}, MRCLASS = {18G55 (18D20 55U35)}, MRNUMBER = {3221774}, MRREVIEWER = {David A. Blanc}, DOI = {10.1017/CBO9781107261457}, URL = {http://dx.doi.org/10.1017/CBO9781107261457}, } @book {Riehl-CTC, AUTHOR = {Riehl, Emily}, TITLE = {Category theory in context}, SERIES = {Aurora: Modern Math Originals}, PUBLISHER = {Dover Publications}, YEAR = {2017}, PAGES = {xviii+240}, ISBN = {978-0-486-80903-8}, } @article {Robalo15, AUTHOR = {Robalo, Marco}, TITLE = {{$K$}-theory and the bridge from motives to noncommutative motives}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {269}, YEAR = {2015}, PAGES = {399--550}, ISSN = {0001-8708}, MRCLASS = {14F42 (14A22 18D10 19E15)}, MRNUMBER = {3281141}, MRREVIEWER = {Jens Hornbostel}, DOI = {10.1016/j.aim.2014.10.011}, URL = {https://doi-org.ezp.lib.rochester.edu/10.1016/j.aim.2014.10.011}, } @book {Robert, AUTHOR = {Robert, Alain M.}, TITLE = {A course in {$p$}-adic analysis}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {198}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2000}, PAGES = {xvi+437}, ISBN = {0-387-98669-3}, MRCLASS = {11Sxx}, MRNUMBER = {2001g:11182}, MRREVIEWER = {Daniel Barsky}, } @article {Rob-UCT, AUTHOR = {Robinson, Alan}, TITLE = {Spectra of derived module homomorphisms}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {101}, YEAR = {1987}, NUMBER = {2}, PAGES = {249--257}, ISSN = {0305-0041,1469-8064}, MRCLASS = {55P42}, MRNUMBER = {870596}, MRREVIEWER = {R.\ M.\ Vogt}, DOI = {10.1017/S0305004100066603}, URL = {https://doi.org/10.1017/S0305004100066603}, } @incollection {Rob-kn, AUTHOR = {Robinson, Alan}, TITLE = {Obstruction theory and the strict associativity of {M}orava {$K$}-theories}, BOOKTITLE = {Advances in homotopy theory ({C}ortona, 1988)}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {139}, PAGES = {143--152}, PUBLISHER = {Cambridge Univ. Press, Cambridge}, YEAR = {1989}, ISBN = {0-521-37907-5}, MRCLASS = {55N20 (55P99 55S35)}, MRNUMBER = {1055874}, MRREVIEWER = {Nobuaki\ Yagita}, DOI = {10.1017/CBO9780511662614.014}, URL = {https://doi.org/10.1017/CBO9780511662614.014}, } @article {Rognes:Galois, AUTHOR = {Rognes, John}, TITLE = {Galois extensions of structured ring spectra. {S}tably dualizable groups}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {192}, YEAR = {2008}, NUMBER = {898}, PAGES = {viii+137}, ISSN = {0065-9266,1947-6221}, MRCLASS = {55P43 (55M05 55P35 57T05)}, MRNUMBER = {2387923}, MRREVIEWER = {Alberto\ Cavicchioli}, DOI = {10.1090/memo/0898}, URL = {https://doi.org/10.1090/memo/0898}, } @ARTICLE {Rud:Ex, AUTHOR = {Yu. B. Rudyak}, TITLE = {Exactness theorems for the cohomology theories {{\rm MU, BP}} and {{\rm P}}$(n)$}, JOURNAL = {Mat. Zametki}, VOLUME = {40}, PAGES = {115-126}, YEAR = {1986 }, NOTE = {English translation in {\em Math. Notes} 40:562--569, 1986}} @ARTICLE {Sad1, AUTHOR = {M. E. Mahowald and H. Sadofsky}, TITLE = {$v_n$-telescopes and the {Adams} spectral sequence}, JOURNAL = DMJ, VOLUME = {78}, PAGES = {101-130}, YEAR = {1995 } } @MISC {sawin-mathoverflow-2021, TITLE = {On the arithmetic of powers of subseries of the exponential series}, AUTHOR = {Will Sawin}, YEAR = {2021}, HOWPUBLISHED = {MathOverflow}, NOTE = {https://mathoverflow.net/q/396778 (version: 2021-07-04)}, EPRINT = {https://mathoverflow.net/q/396778}, URL = {https://mathoverflow.net/q/396778} } @ARTICLE {Schoeller, AUTHOR = {C. Schoeller}, TITLE = {Etude de la categorie des algebres de {Hopf} commutatives connexes sur un corps}, JOURNAL = {Manuscripta Math.}, VOLUME = {3}, PAGES = {133-155}, YEAR = {1970} } @article {dosSantos-Nie, AUTHOR = {dos Santos, Pedro F. and Nie, Zhaohu}, TITLE = {Stable equivariant abelianization, its properties, and applications}, JOURNAL = {Topology Appl.}, FJOURNAL = {Topology and its Applications}, VOLUME = {156}, YEAR = {2009}, NUMBER = {5}, PAGES = {979--996}, ISSN = {0166-8641}, CODEN = {TIAPD9}, MRCLASS = {55P91 (55N91 55P42)}, MRNUMBER = {2498931 (2010i:55014)}, DOI = {10.1016/j.topol.2008.11.015}, URL = {http://dx.doi.org/10.1016/j.topol.2008.11.015}, } @book {SchwartzBook, AUTHOR = {Schwartz, Lionel}, TITLE = {Unstable modules over the {S}teenrod algebra and {S}ullivan's fixed point set conjecture}, SERIES = {Chicago Lectures in Mathematics}, PUBLISHER = {University of Chicago Press}, ADDRESS = {Chicago, IL}, YEAR = {1994}, PAGES = {x+229}, ISBN = {0-226-74202-4; 0-226-74203-2}, MRCLASS = {55S10 (55S37 55T15)}, MRNUMBER = {95d:55017}, MRREVIEWER = {Donald M. Davis}, } @UNPUBLISHED{Schwede:ESHT, AUTHOR = {Schwede, Stefan}, TITLE = {Lectures on equivariant stable homotopy theory}, YEAR = {2018}, NOTE = {\url{http://www.math.uni-bonn.de/people/schwede/}}, } @article {Schwede-modelspec, AUTHOR = {Schwede, Stefan}, TITLE = {Spectra in model categories and applications to the algebraic cotangent complex}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {120}, YEAR = {1997}, NUMBER = {1}, PAGES = {77--104}, ISSN = {0022-4049}, MRCLASS = {55U35 (18G55 55P42)}, MRNUMBER = {1466099}, MRREVIEWER = {Stanis\l aw Betley}, DOI = {10.1016/S0022-4049(96)00058-8}, URL = {https://doi.org/10.1016/S0022-4049(96)00058-8}, } @book{Schwede:Global, AUTHOR = {Schwede, Stefan}, TITLE = {Global homotopy theory}, SERIES = {New Mathematical Monographs}, VOLUME = {34}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2018}, PAGES = {xvi+828}, NOTE = {\url{http://www.math.uni-bonn.de/people/schwede/}} } @UNPUBLISHED{Schwede:SymmSpec, AUTHOR = {Schwede, Stefan}, TITLE = {An untitled book project about symmetric spectra}, YEAR = {2007}, NOTE = {\url{http://www.math.uni-bonn.de/people/schwede/}}} @article {Schwede-Shipley1, AUTHOR = {Schwede, Stefan and Shipley, Brooke E.}, TITLE = {Algebras and modules in monoidal model categories}, JOURNAL = {Proc. London Math. Soc. 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N.}, TITLE = {A course of modern analysis. {A}n introduction to the general theory of infinite processes and of analytic functions: with an account of the principal transcendental functions}, SERIES = {Fourth edition. Reprinted}, PUBLISHER = {Cambridge University Press}, ADDRESS = {New York}, YEAR = {1962}, PAGES = {vii+608}, MRCLASS = {30.00}, MRNUMBER = {MR0178117 (31 \#2375)}, } @UNPUBLISHED{Wilson:Power, AUTHOR = {Wilson, Dylan}, TITLE = {Power operations for {$H\mathbb{F}_{2}$} and a cellular construction of {$BP\reals$}}, NOTE = {\url{http://arxiv.org/abs/math/1611.06958}}, YEAR = {2017}, } @UNPUBLISHED{Wil19, AUTHOR = {Wilson, Dylan}, TITLE = {{$C_2$}-equivariant Homology Operations: Results and Formulas}, NOTE = {\url{http://arxiv.org/abs/math/1905.00058}}, YEAR = {2019}, } @article {Wil23, AUTHOR = {Wilson, Dylan}, TITLE = {{${\rm Mod}\, 2$} power operations revisited}, JOURNAL = {Algebr. Geom. Topol.}, FJOURNAL = {Algebraic \& Geometric Topology}, VOLUME = {23}, YEAR = {2023}, NUMBER = {7}, PAGES = {2993--3014}, ISSN = {1472-2747,1472-2739}, MRCLASS = {55P43 (55S12)}, MRNUMBER = {4647669}, DOI = {10.2140/agt.2023.23.2993}, URL = {https://doi.org/10.2140/agt.2023.23.2993}, } @ARTICLE {WSW:Spin, AUTHOR = {W. S. Wilson}, TITLE = { A new relation on the {Stiefel-Whitney} classes of spin manifolds}, VOLUME = {17}, JOURNAL = IlJM, YEAR = {1973}, PAGES = {115-127} } @BOOK{Sampler, AUTHOR = {W. S. Wilson}, TITLE = {{Brown-Peterson homology: an introduction and sampler}}, SERIES = CBMS, Number = {48}, PUBLISHER = AMS, ADDRESS = Prov, YEAR = {1982 } } @ARTICLE {WSWThesis, AUTHOR = {W. S. Wilson}, TITLE = {The {$\Omega$-spectrum for {Brown-Peterson} cohomology, {Part I}}}, JOURNAL = CMH, VOLUME = {48}, PAGES = {45-55}, YEAR = {1973 } } @ARTICLE {WSWThesis2, AUTHOR = {W. S. 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Yagita}, TITLE = {On mod odd prime {Brown-Peterson} cohomology groups of exceptional {Lie} groups}, JOURNAL =JMSJ, VOLUME = {34}, PAGES = {293-305}, YEAR = {1982 } } @UNPUBLISHED{Yag:un, AUTHOR = {N. Yagita}, TITLE = {Reduced power operations in {$P(n)^*$}-theory}, NOTE = {Unpublished} } @ARTICLE {Yama1, AUTHOR = {A. Yamaguchi}, TITLE = {Morava {K-theory} of double loop spaces of spheres}, JOURNAL =MZ, VOLUME = {199}, PAGES = {511-523}, YEAR = {1988 } } @article {Yama2, AUTHOR = {Yamaguchi, Atsushi}, TITLE = {The homology of double loop spaces of complex {S}tiefel manifolds}, JOURNAL = {Publ. Res. Inst. Math. Sci.}, FJOURNAL = {Kyoto University. Research Institute for Mathematical Sciences. 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Yosimura}, TITLE = {Projective dimension of {Brown--Peterson} homology with modulo {$(p,v_1,\ldots,v_{n-1})$} coefficients}, JOURNAL = OJM, VOLUME = {13}, PAGES = {289-309}, YEAR = {1976 } } @ARTICLE {Yos:haus, AUTHOR = {Z. Yosimura}, TITLE = { Hausdorff condition for {Brown-Peterson} cohomologies}, JOURNAL = {Osaka Journal of Mathematics}, VOLUME = {25}, NUMBER = {4}, YEAR = {1988}, PAGES = {881-890}} @INPROCEEDINGS{Zag, AUTHOR = {D. Zagier}, TITLE = {Note on the {Landweber-Stong} Elliptic genus}, BOOKTITLE = {Elliptic Curves and Modular Forms in Algebraic Topology}, EDITOR = {Peter S. Landweber}, PAGES = {216-224}, SERIES = LNM, VOLUME = {1326}, PUBLISHER = SV, ADDRESS = NY, YEAR = {1988} } @article{Zahler, AUTHOR = {Zahler, Raphael}, TITLE = {The {A}dams-{N}ovikov spectral sequence for the spheres}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {96}, YEAR = {1972}, PAGES = {480--504}, ISSN = {0003-486X}, MRCLASS = {55H15}, MRNUMBER = {0319197 (47 \#7742)}, MRREVIEWER = {A. K. Bousfield}, }