Model Categories

Model Categories
Author: Mark Hovey
Publisher: American Mathematical Soc.
Total Pages: 229
Release: 2007
Genre: Mathematics
ISBN: 0821843613

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Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples.


Model Categories
Language: en
Pages: 229
Authors: Mark Hovey
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This boo
A Handbook of Model Categories
Language: en
Pages: 326
Authors: Scott Balchin
Categories: Mathematics
Type: BOOK - Published: 2021-10-29 - Publisher: Springer Nature

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This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categori
Model Categories and Their Localizations
Language: en
Pages: 482
Authors: Philip S. Hirschhorn
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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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 line
Categorical Homotopy Theory
Language: en
Pages: 371
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2014-05-26 - Publisher: Cambridge University Press

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This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by
More Concise Algebraic Topology
Language: en
Pages: 544
Authors: J. P. May
Categories: Mathematics
Type: BOOK - Published: 2012-02 - Publisher: University of Chicago Press

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With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamen