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Hardcover Handbook of Categorical Algebra: Volume 1, Basic Category Theory Book

ISBN: 0521441781

ISBN13: 9780521441780

Handbook of Categorical Algebra: Volume 1, Basic Category Theory

(Book #50 in the Encyclopedia of Mathematics and its Applications Series)

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Book 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.

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