Francis Borceux

Handbook of Categorical Algebra: Volume 3, Sheaf Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 8. Dezember 1994
• Englisch
• ISBN-13: 9780511834035
• Artikelnr.: 56904420

Inhaltsangabe

Introduction
1. The language of categories
2. Limits
3. Adjoint functors
4. Generators and projectives
5. Categories of fractions
6. Flat functors and Cauchy completeness
7. Bicategories and distributors
8. Internal category theory
Bibliography
Index.