Course Descriptions

16:640:540 - Introduction to Algebraic Topology I

Fall 2021 - Kristen Hendricks

Course Description:

This is a standard first course in algebraic topology. We will cover the fundamental group, covering spaces, singular, simplicial, and cellular homology and cohomology, and Poincare duality. Along the way we will prove some rather nice applications.

Text:

Allen Hatcher, Algebraic Topology

Prerequisites:

Point-set topology and abstract algebra (groups, rings, fields).

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Schedule of Sections:

Previous Semesters: