Model Categories (Mathematical Surveys and Monographs)

Description

Model Categories (Mathematical Surveys and Monographs)
Publisher:American Mathematical Society(1998-09) | ISBN-10: 0821813595 | PDF | 8.3 Mb | 209 page
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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