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Study Model Categories (Mathematical Surveys and Monographs)

Posted on 2010-03-15




Name:Study Model Categories (Mathematical Surveys and Monographs)
ASIN/ISBN:0821813595
Language:English
File size:8.3 Mb
Publisher: American Mathematical Society(1998-09)
ISBN: 0821813595
File Type: PDF
File Size: 8.3 Mb
Pages: 209 page
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Model Categories (Mathematical Surveys and Monographs)

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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