**A Concise Course in Algebraic Topology**

by J. P. May

**Publisher**: University Of Chicago Press 1999**ISBN/ASIN**: 0226511839**ISBN-13**: 9780226511832**Number of pages**: 251

**Description**:

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.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**Lectures on Introduction to Algebraic Topology**

by

**G. de Rham**-

**Tata Institute of Fundamental Research**

These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.

(

**9471**views)

**Modern Algebraic Topology**

by

**D. G. Bourgin**-

**Macmillan**

Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.

(

**7184**views)

**Topological Groups: Yesterday, Today, Tomorrow**

by

**Sidney A. Morris (ed.)**-

**MDPI AG**

The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.

(

**5811**views)

**The Classification Theorem for Compact Surfaces**

by

**Jean Gallier, Dianna Xu**

In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.

(

**14594**views)