[request_ebook] Elements of Algebraic Topology

图书介绍

• Author: J. Munkres
• Publisher: Westview Press

Algebraic topology is a tough subject to teach, and this book does a very good job. Some prerequisites, however, are essential:

* point set topology (e.g. in Munkres' Topology)

* Abstract algebra

* Mathematical maturity to be willing to follow a definition and argument even when it seems like a weird side-track

In addition, this would not be the first book I would recommend to those interested in algebraic topology. First might be Massey's "Algebraic Topology: and Introduction" that introduces the fundamental group (conceptually easier than homology and cohomology).

At some point, however, a prospective student in topology will have to learn homological algebra and this provides the most concrete approach I know to the subject.

Algebraic topology is a lot of fun, but many of the previous textbooks had not given that impression. This one does