Handbook of Categorical Algebra
Volume 3, Sheaf Theory v. 3
By (author) Francis Borceux
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Handbook of Categorical Algebra by Francis Borceux
Book DescriptionThe 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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Book DetailsISBN: 9780521061247
(234mm x 156mm x 28mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Apr-2008
Country of Publication: United Kingdom
Books By Author Francis Borceux
Galois Theories, Paperback (July 2008)
Develops Galois theory in a more general context, emphasizing category theory.
Handbook of Categorical Algebra, Paperback (April 2008)
First of a 3-volume work giving a detailed account of what should be known by all working in, or using category theory. Volume 1 covers basic concepts.
Handbook of Categorical Algebra: Volume 3, Sheaf Theory, Hardback (December 1994)
Third in a three part set, this volume introduces topos theory and the idea of sheaves.
Handbook of Categorical Algebra: Volume 2, Categories and Structures, Hardback (November 1994)» View all books by Francis Borceux
Second in a three part set, this volume introduces important classes of categories (abelian, monadic, fibred, etc.).
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