Format:
1 Online-Ressource (xvii, 522 pages)
,
digital, PDF file(s).
ISBN:
9780511525872
Series Statement:
Encyclopedia of mathematics and its applications volume 52
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521061247
Additional Edition:
ISBN 9780521441803
Additional Edition:
ISBN 9780521441803
Additional Edition:
ISBN 9780521061247
Additional Edition:
Erscheint auch als Druck-Ausgabe Borceux, Francis, 1948 - Handbook of categorical algebra ; 3: Categories of sheaves Cambridge : Cambridge Univ. Pr., 1994 ISBN 0521441803
Additional Edition:
ISBN 9780521441803
Additional Edition:
ISBN 9780521061247
Additional Edition:
Print version ISBN 9780521441803
Language:
English
Subjects:
Mathematics
Keywords:
Kategorielle Algebra
DOI:
10.1017/CBO9780511525872
