Homepage: http://math.stanford.edu/~nperlmut/
Class times and Location: Tue, Thu 1:30pm  2:50pm at Building 240, Rm 110

Topics: Homotopy groups, CW complexes, fibrations, EilenbergMacLane spaces, simplicial sets and spaces, homotopy limits and colimits, spectral sequences.
Prerequisites: Math 215A or similar. Some differential topology could be helpful.
Books: Most of what I cover will be from "Algebraic Topology" by Hatcher, "Spectral Sequences in Algebraic Topology" also by Hatcher (this is an unpublished book free on Allen Hatcher's website). I also plan to draw material from "Lecture Notes in Algebraic Topology" by Jim Davis and Paul Kirk.
Lecture plan.
Date  Topic 

4/4  Homotopy groups, relative homotopy groups, exact sequence of a pair. 
4/6  Weak homotopy equivalences, whitehead's theorem. Begin excision for homotopy groups, Freudenthal suspension theorem. 
4/11  Hurewicz theorem. Begin fibrebundles and fibrations. 
Exercises.
Date  Link to exercise sheet 

4/27  Homework 1 
5/25  Homework 2 