A Concise Course in Algebraic Topology

by J. Peter May

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.

J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Genres: Mathematics, Textbooks, Geometry

254 pages, Paperback

First published September 1, 1999

Reviews

[AJ]

Assuming the reader isn't a mathematical genius, the reader best use this book as a new view on new material. In other words, this book is best a supplemental source, second fiddle to something more computational and less abstract, in the subject of algebraic topology.

[Stephen Gwon]

a good example why you should not do math. my sanity started slipping and for the sake of my eyes, i had to stop reading this and go to hatcher.

[Nick Black]

http://www.math.uchicago.edu/~may/CON..., as seen on Ars Mathematica (http://www.arsmathematica.net/archive...). Thanks, Professor May!

[Lulu]

Algebraic topology