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 specialist...

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Bibliographic Details

Main Author:	Borceux, Francis 1948- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1994
Series:	Encyclopedia of mathematics and its applications volume 52
Subjects:	Categories (Mathematics)
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xvii, 522 pages)
ISBN:	9780511525872
DOI:	10.1017/CBO9780511525872