Model Categories and Their Localizations
- ISBN-10
- 0821832794
- ISBN-13
- 9780821832790
- Category
- Mathematics
- Pages
- 457
- Language
- English
- Published
- 2003
- Publisher
- Amer Mathematical Society
- Authors
- Maureen S O'Dougherty, Philip Steven Hirschhorn
Description
For readers at least somewhat familiar with the homotopy theory of simplicial sets, the text first sets out the development of homotopy function complexes, then examines model categories and techniques of homotopy theory that can be used in them. A model category in fact is nothing more or less than Quillen's axiomatization of a place where it is possible to do homotopy theory. Annotation copyrighted by Book News, Inc., Portland, OR.
Get the book
Other editions
Similar books
-
Model Categories
By Mark HoveyThis book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples.
-
More Concise Algebraic Topology: Localization, Completion, and Model Categories
By J. P. May, K. PontoThe first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of.
-
Homotopy Limit Functors on Model Categories and Homotopical Categories
By William G. DwyerGiven a Quillen adjunction f : M H N : f ' , there N : f ' , there is a unique function which associates with ... and ( ii ) for every left deformation ( r , s ) of M into M ( 8.3 ) and right deformation ( r ' , s ' ) of N into N f ...
-
Simplicial Homotopy Theory
By Paul G. Goerss, John F. JardineThis book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.
-
A Handbook of Model Categories
By Scott BalchinThis book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs.
-
Homotopy Limits, Completions and Localizations
By A. K. Bousfield, D. M. KanThe main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite ...
-
Categories in Algebra, Geometry and Mathematical Physics: Conference and Workshop in Honor of Ross Street's 60th Birthday, July 11-16/July 18-21,...
By Alexei DavydovThe argument of [8] generalizes to any simplicial model category and continuous localization functor, since it does ... In other words, the initial functor C is a cellularization with respect to D. By Lemma 1.3 there exists a set A of ...
-
Categorical Homotopy Theory
By Emily RiehlThis book develops abstract homotopy theory from the categorical perspective with a particular focus on examples.
-
Towards Higher Categories
By John C. Baez, J. Peter MayThe purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself.
-
Towards Higher Categories
By John C. Baez, J. Peter MayJ.E. Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. (2007), 359:2043–2058. ... Model Categories and Their Localizations, Mathematical Surveys, and Monographs, 99, AMS, 2003.