**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

**H Ring Spectra and Their Applications**

by

**R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger**-

**Springer**

This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.

(

**8558**views)

**The Homology of Iterated Loop Spaces**

by

**F. R. Cohen, T. J. Lada, P. J. May**-

**Springer**

A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.

(

**8694**views)

**Residues and Duality**

by

**Robin Hartshorne**-

**Springer**

The main purpose of these notes is to prove a duality theorem for cohomology of quasi-coherent sheaves, with respect to a proper morphism of locally noetherian preschemes. Various such theorems are already known. Typical is the duality theorem ...

(

**3712**views)

**Topology Illustrated**

by

**Peter Saveliev**-

**Intelligent Perception**

The text follows the content of a fairly typical, two-semester, first course in topology. Some of the topics are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, and, of course, calculus.

(

**10046**views)