MATH 528:ALGEBRAIC TOPOLOGY II

Winter 2013-14

       

Instructor: Professor Alejandro Adem


Class Time: Tuesdays and Thursdays, 9:30-10:50 in ESB 4133

Office Hours: by appointment, in MATX 1203

Textbooks: Hatcher (Algebraic Topology) & Bredon (Topology and Geometry)


Description:


This is the second part of an introductory sequence in topology which will familiarize students with basic topics and provide preparation for more advanced courses. Topics include: higher homotopy groups, fibrations, vector bundles, classifying spaces, characteristic classes, spectral sequences, elements of K-theory, Lefschetz Fixed-Point Theorem, cohomology operations, etc.

Problems will be assigned and discussed in class.

Classes will start on Thursday, January 9.

Homework #1 due on Thursday, January 30

Homework #2 due on Tuesday, February 25

Homework #3 due on Thursday, April 3