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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
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 categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model
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
Category Theory in Context
Language: en
Pages: 272
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2017-03-09 - Publisher: Courier Dover Publications

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Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — re
Topology
Language: en
Pages: 167
Authors: Tai-Danae Bradley
Categories: Mathematics
Type: BOOK - Published: 2020-08-18 - Publisher: MIT Press

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A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach