University at Albany, SUNY

AMAT 840: Topics in Topology — Homotopy Theory, Fall 2011

Instructor

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.

Schedule

MWF 1:40–2:35 in ES-146.

Prerequisites

AMAT 540 A & B.

Description

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.

Textbooks

None, but the following books, which are freely available online, are both excellent references:

Grading

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.