Math 443 Algebraic Topology Fall, 2026 Course description Homework assignments  Lecture notes for each class  Link to Fall 2025 course and by recursion to previous courses Instructor Information Instructor: Doug Ravenel Office Hylan 819 Phone 5-4415 Email Office hours Thursday 1:00-3:00 By appointment Class Meetings Time  Place  MW 2:00-3:15 Hylan 1104  The first meeting will be on Monday August 31. There will be no classes on Monday September 7 (Labor Day), Monday October 12 (Fall break) and Wednesday November 25 (Thanksgiving break). The last meeting will be on Monday December 14. Final exam in Hylan 11 at time TBA Course evaluation link Handouts (you will need Adobe Acrobat to read some of these) Group project on Platonic surfaces This assignment is subject to revision. Answer sheet for 2012 final exam  Answer sheet for 2013 final exam  Answer sheet for Spring 2014 final exam  Answer sheet for Fall 2014 final exam  Answer sheet for Fall 2015 final exam  Answer sheet for Fall 2016 final exam  Answer sheet for Fall 2017 final exam  Answer sheet for Fall 2019 final exam  Links Algebraic topology by Allan Hatcher, our textbook HOMOTOPY THEORY FOR BEGINNERS  (comments to Chapter 0 of Hatcher's book), THE FUNDAMENTAL GROUP AND COVERING SPACES and From singular chains to Alexander Duality   by JESPER M. MØLLER. Biographies of mathematicians A history of Topology Other books and courses on algebraic topology   The seven bridges of Königsberg   Platonic solids and Euler's number   Stellations of Platonic solids    Nineteen Proofs of Euler's Formula: V-E+F=2    Everting the sphere (turning it inside out)   THE KLEIN BOTTLE The Hopf fibration The discovery of this map by Heinz Hopf in 1930 marks the beginning of homotopy theory. Some papers on Platonic surfaces. Links for three and four dimensional polyhedra

J. Frank Adams 1930-1989   Leonhard Euler 1707-1783 Click here for more pictures .  Euler is also depicted on the  Swiss 10 franc note.    Jules Henri Poincaré 1854-1912 Click here for more pictures .  Solomon Lefschetz 1884-1972 Heinz Hopf 1891-1971 J. H. C. Whitehead 1904-1960 Norman Earl Steenrod 1910-1971 Samuel Eilenberg 1913-1998

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