MWF 11:30–12:25 in ES-143.
AMAT 540 A & B, or permission of instructor.
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 and can be purchased for less than $30 each, 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.
Weekly homework assignments.
Late submissions will not be accepted. Regular attendance is expected, and excessive tardiness may count as absence. We refer to the Graduate Bulletin for the policies on incomplete grades. Of course, students must follow the University’s Standards of Academic Integrity.