Model Categories and Their Localizations

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American Mathematical Society, 2003 - Mathematics - 457 pages
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The aim of this book is to explain modern homotopy theory in a manner accessible to graduate students yet structured so that experts can skip over numerous linear developments to quickly reach the topics of their interest. Homotopy theory arises from choosing a class of maps, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences - by creating a new category in which the weak equivalences are isomorphisms.

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