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Handbook of Categorical Algebra

Handbook of Categorical Algebra

Handbook of Categorical Algebra

Volume 3: Sheaf Theory
Francis Borceux, Université Catholique de Louvain, Belgium
April 2008
3. Sheaf Theory
Paperback
9780521061247

    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

    Reviews & endorsements

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

    See more reviews

    Product details

    April 2008
    Paperback
    9780521061247
    544 pages
    234 × 155 × 27 mm
    0.764kg
    162 b/w illus. 94 exercises
    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