Handbook of Categorical Algebra: Volume 1, Basic Category Theory

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Cambridge University Press, Aug 26, 1994 - Mathematics - 345 pages
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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, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. In particular, Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory.
 

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Contents

1 The language of categories
1
2 Limits
38
3 Adjoint functors
96
4 Generators and projectives
132
5 Categories of fractions
176
6 Flat functors and Cauchy completeness
250
7 Bicategories and distributors
281
8 Internal category theory
325
Bibliography
341
Index
343
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