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
Category Theory in Context
Language: en
Pages: 273
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.
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
Category Theory for the Sciences
Language: en
Pages: 495
Authors: David I. Spivak
Categories: Mathematics
Type: BOOK - Published: 2014-10-17 - Publisher: MIT Press

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An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in