ENGLISH

Model Categories (Mathematical Surveys and Monographs)

By Mark Hovey

Book information

Publisher
American Mathematical Society
Year
1998
ISBN
0821813595, 9780821813591
LCC
QA169 .H68 1999
Google Books ID
Kfs4uuiTXN0C
Open Library ID
OL372881M
Language
english
Format
DJVU
Filesize
4 MB (4077748 bytes)
Pages
219\219
Orientation
yes
Scanned
yes
Time added
2011-08-31 04:54:40

Description

Model categories are 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.

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