Basic category theory

Francis Borceux

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 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.

「Nielsen BookData」より

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 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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

この本の情報

書名 Basic category theory
著作者等 Borceux, Francis
Doran, B.
Flajolet, Philippe
Ismail, M.
Lam, T. Y.
Lutwak, E.
Wutwak, E.
Rota, G.-C.
シリーズ名 Encyclopedia of mathematics and its applications
出版元 Cambridge University Press
刊行年月 1994
ページ数 xv, 345 p.
大きさ 24 cm
ISBN 9780521061193
9780521441780
NCID BA22884321
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言語 英語
出版国 イギリス
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