Basic Concepts Of Enriched Category Theory

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Basic Concepts Of Enriched Category Theory

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Author : Gregory Maxwell Kelly
language : en
Publisher: CUP Archive
Release Date : 1982-02-18

Basic Concepts Of Enriched Category Theory written by Gregory Maxwell Kelly and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-02-18 with Mathematics categories.

Basic Category Theory

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Author : Tom Leinster
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-24

Basic Category Theory written by Tom Leinster and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.

A short introduction ideal for students learning category theory for the first time.

Categorical Homotopy Theory

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Author : Emily Riehl
language : en
Publisher: Cambridge University Press
Release Date : 2014-05-26

Categorical Homotopy Theory written by Emily Riehl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-26 with Mathematics categories.

This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.

Kan Extensions In Enriched Category Theory

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Author : Eduardo J. Dubuc
language : en
Publisher: Springer
Release Date : 2006-11-15

Kan Extensions In Enriched Category Theory written by Eduardo J. Dubuc and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

The original purpose of this paper was to provide suitable enriched completions of small enriched categories.

Elements Of Category Theory

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Author : Emily Riehl
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-10

Elements Of Category Theory written by Emily Riehl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-10 with Mathematics categories.

This book develops the theory of infinite-dimensional categories by studying the universe, or ∞-cosmos, in which they live.

From Categories To Homotopy Theory

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Author : Birgit Richter
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-16

From Categories To Homotopy Theory written by Birgit Richter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-16 with Mathematics categories.

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

Category Theory In Context

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Author : Emily Riehl
language : en
Publisher: Courier Dover Publications
Release Date : 2017-03-09

Category Theory In Context written by Emily Riehl and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-09 with Mathematics categories.

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.

An Invitation To Applied Category Theory

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Author : Brendan Fong
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-18

An Invitation To Applied Category Theory written by Brendan Fong and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-18 with Computers categories.

Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

Co End Calculus

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Author : Fosco Loregian
language : en
Publisher: Cambridge University Press
Release Date : 2021-07-22

Co End Calculus written by Fosco Loregian and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-22 with Mathematics categories.

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Coherence In Three Dimensional Category Theory

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Author : Nick Gurski
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-21

Coherence In Three Dimensional Category Theory written by Nick Gurski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-21 with Mathematics categories.

Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science.