num_pages: 209
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.
language: English
title: Model Categories
publisher: Amer Mathematical Society