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Handbook of Categorical Algebra : Volume 1, Basic Category Theory: Handbook of Categorical Algebra: Volume 1, Basic Category Theory Basic Category Theory v.1 - Francis Borceux

Handbook of Categorical Algebra

Volume 1, Basic Category Theory: Handbook of Categorical Algebra: Volume 1, Basic Category Theory Basic Category Theory v.1

Hardcover

Published: 4th December 2002
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A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. 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.

"...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

Introduction
The language of categories
Limits
Adjoint functors
Generators and projectives
Categories of fractions
Flat functors and Cauchy completeness
Bicategories and distributors
Internal category theory
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521441780
ISBN-10: 0521441781
Series: Encyclopedia of Mathematics and Its Applications : Book 1
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 364
Published: 4th December 2002
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.4
Weight (kg): 0.72