Handbook of Categorical Algebra: Volume 2, Categories and Structures

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Cambridge University Press, Nov 3, 1994 - Mathematics - 464 pages
The 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. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.
 

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Contents

Regular categories
89
Algebraic theories
122
Monads
186
Accessible categories
254
Enriched category theory
291
Topological categories
349
Fibred categories
373
Bibliography
436
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