From Categories to Homotopy Theory
Language: en
Pages: 402
Authors: Birgit Richter
Categories: Mathematics
Type: BOOK - Published: 2020-04-16 - Publisher: Cambridge University Press

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Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between p
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
The Homotopy Theory of (∞,1)-Categories
Language: en
Pages: 290
Authors: Julia E. Bergner
Categories: Mathematics
Type: BOOK - Published: 2018-03-15 - Publisher: Cambridge University Press

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The notion of an (∞,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approach
The Homotopy Theory of (?,1)-Categories
Language: en
Pages: 289
Authors: Julia E. Bergner
Categories: Mathematics
Type: BOOK - Published: 2018-03-15 - Publisher: Cambridge University Press

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An introductory treatment to the homotopy theory of homotopical categories, presenting several models and comparisons between them.
Homotopy Type Theory: Univalent Foundations of Mathematics
Language: en
Pages: 484
Authors:
Categories:
Type: BOOK - Published: - Publisher: Univalent Foundations

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