Handbook of Categorical Algebra: Volume 1, Basic Category Theory

by Francis Borceux

Encyclopedia of mathematics and its applications (52)

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A 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. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After show more 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. show less

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Handbook of Categorical Algebra: Volume 1, Basic Category Theory

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Genres
Nonfiction, Science & Nature
DDC/MDS
512.55Natural sciences & mathematicsMathematicsAlgebraLinear, multilinear, multidimensional Algebra
LCC
QA169 .B67ScienceMathematicsMathematicsAlgebra
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English
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Paper, Ebook
ISBNs
13
ASINs
1