Model Categories

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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
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
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
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