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Model Categories and Their Localizations - AMS Mathematics Book

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Description

Explore modern homotopy theory with Model Categories and Their Localizations from the Mathematical Surveys and Monographs series. This text is designed to explain complex homotopy theory in a way that is accessible to graduate students. The structure allows experts to skip linear developments and move directly to specific topics of interest. Learn how homotopy theory works by choosing a class of maps called weak equivalences and passing to the homotopy category through localization. This book covers the foundations of creating new categories where weak equivalences become isomorphisms, building on the definitions established by Quillen. It is an essential resource for those studying category theory and mathematical localization.

Key Features

Provides an accessible explanation of modern homotopy theory for graduate students.

Structured to allow experts to skip linear developments and reach specific topics quickly.

Covers the process of passing to the homotopy category by localizing with respect to weak equivalences.

Explains the concept of creating a new category in which weak equivalences are isomorphisms.

Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
24 August 2009
Listed Since
14 June 2010

Barcode

No barcode data available

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