Handbook of Categorical Algebra: Volume 3, Sheaf Theory

By:

Francis Borceux

Format:

Paperback / softback

Series:

Encyclopedia of Mathematics and Its Applications

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Description

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.

Release date NZ

April 24th, 2008

Author

Francis Borceux

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises; 162 Line drawings, unspecified

Pages

544

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

155x234x27

ISBN-13

9780521061247

Product ID

2074929

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