Course Descriptions

16:640:540 - Introduction to Algebraic Topology I

Feng Luo

Description:

This is an introduction course on algebraic topology. We will cover the following topics: fundamental groups, covering spaces, singular, simplicial and celluar homology theories, Brouwer fixed point theorem and invariance of domain theorem. Many interesting examples of spaces will be introduced.

Text:

Algebraic Topology by A. Hatcher

Prerequisites:

point set topology and group theory

Schedule of Sections: