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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Encyclopedia of Mathematics and its Applications |
| Release date: |
April 2008 |
| First published: |
2008 |
| Authors: |
Francis Borceux
|
| Dimensions: |
234 x 155 x 27mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
544 |
| ISBN-13: |
978-0-521-06124-7 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
0-521-06124-5 |
| Barcode: |
9780521061247 |
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