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Language: en
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Type: BOOK - Published: 2020-04-16 - Publisher: Cambridge University Press
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
Language: en
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Pages: 371
Type: BOOK - Published: 2014-05-26 - Publisher: Cambridge University Press
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by
Language: en
Pages: 653
Pages: 653
Type: BOOK - Published: 2011-10-20 - Publisher: Cambridge University Press
The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theor
Language: en
Pages: 290
Pages: 290
Type: BOOK - Published: 2018-03-15 - Publisher: Cambridge University Press
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
Language: en
Pages: 272
Pages: 272
Type: BOOK - Published: 2017-03-09 - Publisher: Courier Dover Publications
Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — re