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Handbook of Categorical Algebra

Volume 1. Basic Category Theory

£59.99

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: April 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521061193

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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 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.

    • Unique
    •  Comprehensive
    • Introductory
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    Product details

    • Date Published: April 2008
    • format: Paperback
    • isbn: 9780521061193
    • length: 364 pages
    • dimensions: 234 x 155 x 18 mm
    • weight: 0.516kg
    • availability: Available
  • Table of Contents

    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.

  • Author

    Francis Borceux, Université Catholique de Louvain, Belgium

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