TY  - BOOK
AU  - Borceux,Francis
TI  - Handbook of categorical algebra
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511525872 (ebook)
AV  - QA169 .B67 1994
U1  - 512/.55 20
PY  - 1994///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Categories (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511525872
ER  -