Handbook of Categorical Algebra: Volume 1, Basic Category Theory

by Francis Borceux

Overview

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.

Product Details

ISBN-13:	9780521061193
Publisher:	Cambridge University Press
Publication date:	04/24/2008
Series:	Encyclopedia of Mathematics and its Applications , #50
Pages:	364
Sales rank:	1,024,730
Product dimensions:	6.10(w) x 9.20(h) x 0.90(d)

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.

Editorial Reviews

"...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

From the Publisher