**Algebraic Topology**

by Allen Hatcher

**Publisher**: Cambridge University Press 2001**ISBN/ASIN**: 0521795400**ISBN-13**: 9780521795401**Number of pages**: 559

**Description**:

In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

Download or read it online for free here:

**Download link**

(3.5MB, PDF)

## Similar books

**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.

(

**4680**views)

**Introduction to Characteritic Classes and Index Theory**

by

**Jean-Pierre Schneiders**-

**Universidade de Lisboa**

This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.

(

**4838**views)

**A Topology Primer**

by

**Klaus Wirthmüller**-

**Technische Universität Kaiserslautern**

The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.

(

**6863**views)

**Equivariant Stable Homotopy Theory**

by

**G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure**-

**Springer**

Our purpose is to establish the foundations of equivariant stable homotopy theory. We shall construct a stable homotopy category of G-spectra,and use it to study equivariant duality, equivariant transfer, the Burnside ring, and related topics.

(

**8808**views)