Handbook of Categorical Algebra
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
Product details
April 2008Paperback
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.