MWF 1:40–2:35 in ES-146.
AMAT 540 A & B.
The topic of the course will be classical homotopy theory, presented from a modern point of view: homotopy groups of spaces, their fundamental properties, the long exact sequence of a fibration, the theorems of Whitehead and Hurewicz, Blakers-Massey homotopy excision theorem and its applications (in particular Freudenthal suspension theorem), the relation with (co)homology theories, and a glimpse of stable homotopy theory.
None, but the following books, which are freely available online, are both excellent references:
- Allen Hatcher, Algebraic Topology,
Cambridge University Press, 2002.
J. Peter May, A Concise Course in Algebraic Topology,
The University of Chicago Press, 1999.
Biweekly homework assignments.