Logo

Homotopy Theories and Model Categories

Small book cover: Homotopy Theories and Model Categories

Homotopy Theories and Model Categories
by

Publisher: University of Notre Dame
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

Book cover: Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by - 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)
Book cover: Notes on the course Algebraic TopologyNotes on the course Algebraic Topology
by - 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)
Book cover: Residues and DualityResidues and Duality
by - 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)
Book cover: Equivariant Stable Homotopy TheoryEquivariant Stable Homotopy Theory
by - 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)