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Item Details
| Title:
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HANDBOOK OF CATEGORICAL ALGEBRA: VOLUME 3, SHEAF THEORY
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| By: |
Francis Borceux |
| Format: |
Electronic book text |
| List price:
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£85.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0511525877 |
| ISBN 13: |
9780511525872 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
4 February, 2010 |
| Series: |
Encyclopedia of Mathematics and Its Applications 52 |
| Description: |
Third in a three part set, this volume introduces topos theory and the idea of sheaves. |
| Synopsis: |
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. |
| Illustrations: |
162 b/w illus. 94 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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