Prof. Marco Varisco,
mvarisco@albany.edu,
www.albany.edu/~mv312143/

Office:
ES-120C,
Office Hours: M 2:45–5:35, W 2:45–4:05, or by appointment.

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.

math.cornell.edu/~hatcher/AT/ATpage.html -
J. Peter May,
*A Concise Course in Algebraic Topology*, The University of Chicago Press, 1999.

math.uchicago.edu/~may/BOOKSMaster.html

Biweekly homework assignments.

This syllabus is subject to change. All official announcements and assignments are given in class, and this web page may not be up to date. Marco Varisco — August 31, 2011.