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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
January 1995
3. Sheaf Theory
Available
Hardback
9780521441803

    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

    January 1995
    Hardback
    9780521441803
    544 pages
    241 × 161 × 33 mm
    0.929kg
    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