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Math 443 Algebraic Topology

Spring, 2002

Course description 

Lecture notes 


Instructor Information

Instructor: Office Hours: Email:
Doug Ravenel Hylan 918
Phone: 275-9421
Tuesday/Thursday 1:00-2:00

Class Meetings

CRN  Time  Place 
56762 TR 2:00-3:15 Hylan 1101 
Occasional alternate times
to be announced


Allen Hatcher's book Algebraic Topology
Ran Levi's Geometric Topology course
Neil Strickland's Algebraic Topology course
The seven bridges of Königsberg
Platonic solids and Euler's number
Seventeen Proofs of Euler's Formula: V-E+F=2 
A Proof of Euler's Formula
Boy's Surface (animation)
Math That Makes You Go Wow 
A Multi-Disciplinary Exploration of Non-Orientable Surfaces
The Hopf fibration 
  • Fibers over concentric circles
  • Colored visualization
  • Tubular neighborhoods of nine fibers
  • Three and four dimensional polyhedra


    (you will need Adobe Acrobat or a 
    dvi driver to read some of these)
    Homework due February 12
    Homework due March 19
    Solution to the extra credit problem on SO(4)
    Solution to the five lemma problem
    Homework due April 11
    Homework due May 2
    Hints on homological algebra


    Leohard 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

    Norman Earl Steenrod 1910-1971

    Samuel Eilenberg 1913-1998


    Note to students: This page is a work in progress. You should reload it frequently to keep up with developments in the course. The revision date is always indicated at the bottom of the page.