Handbook of Categorical Algebra: Volume 3, Sheaf Theory: Categories of Sheaves: 003 (Encyclopedia of Mathematics and its Applications, Series Number 52)

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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.

Publisher ‏ : ‎ Cambridge University Press; 1st edition (8 December 1994)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 544 pages
ISBN-10 ‏ : ‎ 0521441803
ISBN-13 ‏ : ‎ 978-0521441803
Item Weight ‏ : ‎ 930 g
Dimensions ‏ : ‎ 16.51 x 3.18 x 24.13 cm
Country of Origin ‏ : ‎ India

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