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
Algebraic and Geometric Topologyby Andrew Ranicki, Norman Levitt, Frank Quinn - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(18528 views)
Introduction to Characteritic Classes and Index Theoryby 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.
(12159 views)
E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectraby J. P. May - Springer
The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.
(14018 views)
Manifold Theoryby 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.
(11631 views)