Algebraic Topology II

MATH 6802: Algebraic Topology II

Homology of pairs, excision, axioms; Mayer-Vietoris, cellular homology; cohomology groups, Ext and Tor functors, universal coefficients; Kunneth Theorem; Orientation on manifolds; fundamental class; Poincare, Alexander, and Lefschetz duality.
Prereq: 6801 (756). Not open to students with credit for 758.
Credit Hours


Title: Algebraic Topology
Author: Hatcher
Publisher: Cambridge
ISBN: 9780521795401

Semester(s) Offered: