**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

**Differential Forms and Cohomology: Course**

by

**Peter Saveliev**-

**Intelligent Perception**

Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.

(

**8109**views)

**Notes on the course Algebraic Topology**

by

**Boris Botvinnik**-

**University of Oregon**

Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.

(

**9778**views)

**Residues and Duality**

by

**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 ...

(

**4943**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.

(

**13725**views)