**Modern Algebraic Topology**

by D. G. Bourgin

**Publisher**: Macmillan 1963**ISBN/ASIN**: B0006AYEAQ**Number of pages**: 544

**Description**:

Contents: Preliminary algebraic background; Chain relationships; Fundamentals of the absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; Gratings; Fundamental omology relations and applications; Homological algebra; Uniqueness proofs and fixed point indices; etc.

Download or read it online for free here:

**Read online**

(online reading)

## Similar books

**An Elementary Illustrated Introduction to Simplicial Sets**

by

**Greg Friedman**-

**arXiv.org**

This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.

(

**5405**views)

**scl**

by

**Danny Calegari**-

**Mathematical Society of Japan**

This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.

(

**7305**views)

**Manifold Theory**

by

**Peter Petersen**-

**UCLA**

These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.

(

**6829**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.

(

**7301**views)