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.
(18278 views)
Residues and Dualityby 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 ...
(7934 views)
An Elementary Illustrated Introduction to Simplicial Setsby 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.
(10410 views)
Lectures on Introduction to Algebraic Topologyby G. de Rham - Tata Institute of Fundamental Research
These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.
(11594 views)