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.
| ISBN: | 9780521061247 |
| Publication date: | 24th April 2008 |
| Author: | Francis Université Catholique de Louvain, Belgium Borceux |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 544 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Algebra |
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.
Handbook of Categorical Algebra: Volume 3, Sheaf Theory features in the following genres: Algebra
Handbook of Categorical Algebra: Volume 3, Sheaf Theory is available in Paperback, Hardback
Handbook of Categorical Algebra: Volume 3, Sheaf Theory was written by Francis Université Catholique de Louvain, Belgium Borceux and published by Cambridge University Press
Handbook of Categorical Algebra: Volume 3, Sheaf Theory has 544 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£39.60