Class times and Location: Tue, Thu 1:30pm - 2:50pm at Building 240, Rm 110
Topics: Homotopy groups, CW complexes, fibrations, Eilenberg-MacLane 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will be from "Algebraic Topology" by Hatcher, "Spectral Sequences in Algebraic Topology" also by Hatcher (this is an unpublished book free on Allen Hatcher's website).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.
|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.|
|Date||Link to exercise sheet|