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.
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.
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.
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.
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