An Introduction to Algebraic Topology

by Andrew H. Wallace

This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, after which the text proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. Exercises form an integral part of the text. 1961 edition.

Genres: Mathematics

208 pages, Paperback

First published February 27, 2007

About the author

Andrew Hugh Wallace

Reviews

[CD · Rating 3 out of 5]

The earlier version of this were a bit thin on the foundation levels and I always felt that it was more of a survey book for non-major students needing a grad level math text/course.

It was fun to hand Wallace to an earlier generation of Quantum Physicists who were not terribly familiar with AT and watch their eyes light up and then dim slightly if they hadn't ace'd Analysis in the Real Numbers or were vague on multi-dimensional Calc ala Ing or Sims. Of course one day I started such a discussion and met a Candidate who had memorized all the solvable DiffEq's and knew what to do with them! That conversation lasted for many enjoyable years.

I haven't seen the latest exercises guide so cannot speak for its efficacy as a text but this is gives a reader workable knowledge to unravel various applied work that supposes familiarity with the topic.