Math 544a – Algebraic Topology - Fall 2005

In this graduate course, we will study the basic topological invariants. We start with basic topological notions like manifolds, topological equivalence, homotopy. Then we go over fundamental groups and covering spaces. Then, we study the homology and cohomology theories. Then, we see some important applications of these topological invariants in topology.

Textbook: Algebraic Topology, Allen Hatcher

http://www.math.cornell.edu/~hatcher/AT/ATpage.html

Grading: 40% Midterms, 30% Final, 30% HWs.