Category Theory in Context

Category Theory in Context
Author: Emily Riehl
Publisher: Courier Dover Publications
Total Pages: 272
Release: 2017-03-09
Genre: Mathematics
ISBN: 0486820807


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Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.


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
Basic Category Theory
Language: en
Pages: 193
Authors: Tom Leinster
Categories: Mathematics
Type: BOOK - Published: 2014-07-24 - Publisher: Cambridge University Press

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A short introduction ideal for students learning category theory for the first time.
Categories for the Working Mathematician
Language: en
Pages: 320
Authors: Saunders Mac Lane
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural tr
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
Elements of ∞-Category Theory
Language: en
Pages: 782
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2022-02-10 - Publisher: Cambridge University Press

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The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninit