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Mathematical Surveys and Monographs: Model Categories by Mark Hovey (2007, Trade Paperback)
Chibi Rare Books (3010)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100821843613
ISBN-139780821843611
eBay Product ID (ePID)64260395
Product Key Features
Number of Pages210 Pages
LanguageEnglish
Publication NameModel Categories
SubjectTopology
Publication Year2007
TypeTextbook
AuthorMark Hovey
Subject AreaMathematics
SeriesMathematical Surveys and Monographs
FormatTrade Paperback
Dimensions
Item Height0.5 in
Item Weight14.7 Oz
Item Length10 in
Item Width6.9 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN98-034539
Dewey Edition21
Series Volume Number63
IllustratedYes
Dewey Decimal514/.24
Table Of ContentModel categories; Examples; Simplicial sets; Monoidal model categories; Framings; Pointed model categories; Stable model categories and triangulated categories; Vistas; Bibliography; Index.
SynopsisModel categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This 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., Model categories are used as a tool for inverting certain maps in a category in a controllable manner. As such, they are useful in diverse areas of mathematics. The list of such areas is continually growing. This book is a comprehensive study of the relationship between a model category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One highlight of the theory is a proof that the homotopy category of any model category is naturally a closed module over the homotopy category of simplicial sets. Little is required of the reader beyond some category theory and set theory, which makes the book accessible to advanced graduate students. The book begins with the basic theory of model categories and proceeds to a careful exposition of the main examples, using the theory of cofibrantly generated model categories. It then develops the general theory more fully, showing in particular that the homotopy category of any model category is a module over the homotopy category of simplicial sets, in an appropriate sense. This leads to a simplification and generalisation of the loop and suspension functors in the homotopy category of a pointed model category. The book concludes with a discussion of the stable case, where the homotopy category is triangulated in a strong sense and has a set of small weak generators., A comprehensive study of the relationship between a model category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One highlight is a proof that the homotopy category of any model category is naturally a closed module over the homotopy category of simplicial sets.
LC Classification NumberQA1
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