Handbook of Categorical Algebra: Volume 1, Basic Category Theory by Francis Borc

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A Handbook of Categorical Algebra is designed to give a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The three volumes are written in sequence, with the first being essentially self-contained. Volume 1 is devoted to general concepts and can be used for advanced undergraduate courses on category theory.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

A Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various 'refinements' of the fundamental concepts of category and functor.

Table of Contents

Introduction; 1. The language of categories; 2. Limits; 3. Adjoint functors; 4. Generators and projectives; 5. Categories of fractions; 6. Flat functors and Cauchy completeness; 7. Bicategories and distributors; 8. Internal category theory; Bibliography; Index.

Review

"...Not only is this the most comprehensive book ever written on category theory, it is by far the best written...What the author has understood is that one cannot understand this subject without lots of examples..." Gian-Carlo Rota, The Bulletin of Mathematics Books "...these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews

Review Quote

" . . . these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews

Promotional "Headline"

First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts.

Description for Bookstore

A Handbook of Categorical Algebra is designed to give a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The three volumes are written in sequence, with the first being essentially self-contained. Volume 1 is devoted to general concepts and can be used for advanced undergraduate courses on category theory.

Description for Library

A Handbook of Categorical Algebra is designed to give a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The three volumes are written in sequence, with the first being essentially self-contained. Volume 1 is devoted to general concepts and can be used for advanced undergraduate courses on category theory.

Details ISBN0521061199 Author Francis Borceux Short Title HANDBK OF CATEGORICAL ALGEBRA Pages 364 Publisher Cambridge University Press Series Encyclopedia of Mathematics and Its Applications Language English ISBN-10 0521061199 ISBN-13 9780521061193 Media Book Format Paperback DEWEY 512.55 Series Number 50 Year 2008 Publication Date 2008-04-30 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Edition 1st Subtitle Volume 1, Basic Category Theory Birth 1948 Illustrations black & white illustrations Affiliation Universite Catholique de Louvain, Belgium DOI 10.1604/9780521061193 Audience Professional and Scholarly UK Release Date 2008-04-24 AU Release Date 2008-04-24 NZ Release Date 2008-04-24 We've got this

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