Model categories

Name: Model categories
ISBN: 9780821813591

Mark Hovey

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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.

Категории:

Mathematics - Geometry and Topology

Тип съдържание:

Книги

Година:

1999

Издателство:

American Mathematical Society

Език:

english

Страници:

213