**Homotopy Theories and Model Categories**

by W. G. Dwyer, J. Spalinski

**Publisher**: University of Notre Dame 1995**Number of pages**: 56

**Description**:

This paper is an introduction to the theory of model categories, which was developed by Quillen. We have tried to minimize the prerequisites needed for understanding this paper; it should be enough to have some familiarity with CW-complexes, with chain complexes, and with the basic terminology associated with categories.

Download or read it online for free here:

**Download link**

(420KB, PDF)

## Similar books

**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.

(

**5319**views)

**Algebraic Topology**

by

**Allen Hatcher**-

**Cambridge University Press**

Introductory text suitable for use in a course or for self-study, it covers fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The geometric aspects of the subject are emphasized.

(

**29071**views)

**Topology Lecture Notes**

by

**Thomas Ward**-

**UEA**

Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.

(

**6949**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.

(

**1688**views)