Math 656: Algebraic Topology

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Catalog Information

Title

Algebraic Topology 2.

Credit Hours

3

Prerequisite

Math 655.

Description

A rigorous treatment of the fundamentals of algebraic topology, including homotopy (fundamental group and higher homotopy groups) and homology and cohomology of spaces.

Desired Learning Outcomes

Prerequisites

Topology of manifolds, tensors, and orientation is assumed from Math 655. A basic knowledge of fundamental groups and covering spaces, as in Math 554, will also be required.

Minimal learning outcomes

Additional topics

Courses for which this course is prerequisite