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Handbook of Categorical Algebra

Volume 3. Sheaf Theory

$130.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: April 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521061247

$ 130.00 (C)
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  • This third volume turns to topos theory and the idea of sheaves. The theory of locales is considered first, and Grothendieck toposes are introduced. Notions of sketchability and accessible categories are discussed, and an axiomatic generalization of the category of sheaves is given.

    • Unique reference
    • Comprehensive coverage
    • Self-contained, straightforward presentation
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    Reviews & endorsements

    " . . . these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews

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    Product details

    • Date Published: April 2008
    • format: Paperback
    • isbn: 9780521061247
    • length: 544 pages
    • dimensions: 234 x 155 x 27 mm
    • weight: 0.764kg
    • contains: 162 b/w illus. 94 exercises
    • availability: Available
  • Table of Contents

    Preface
    Introduction to the handbook
    1. Locales
    2. Sheaves
    3. Grothendieck toposes
    4. The classifying topos
    5. Elementary toposes
    6. Internal logic of a topos
    7. The law of excluded middle
    8. The axiom of infinity
    9. Sheaves in a topos
    Index.

  • Author

    Francis Borceux, Université Catholique de Louvain, Belgium

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