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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52) - Softcover
Synopsis
This third volume turns to topos theory and the idea of sheaves. The theory of locales is considered first, and Grothendieck toposes are introduced. Notions of sketchability and accessible categories are discussed, and an axiomatic generalization of the category of sheaves is given.
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Book Description
The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. This third volume turns to topos theory and the idea of sheaves. The theory of locales is considered first, and Grothendieck toposes are introduced. Notions of sketchability and accessible categories are discussed, and an axiomatic generalization of the category of sheaves is given.There is ample material here for a graduate course in category theory, and the book should also serves as a reference for users.
Review
" . . . these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews
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Handbook of Categorical Algebra 3 : Categories of Sheaves
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Paperback or Softback)
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52)
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ISBN 10: 0521061245
ISBN 13: 9780521061247
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Handbook of Categorical Algebra 3 : Categories of Sheaves
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Paperback)
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Paperback. Condition: new. Paperback. 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. The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. There is ample material here for a graduate course in category theory, and the books should also serve as a reference for users. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521061247
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Handbook of Categorical Algebra 3: Categories of Sheaves
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52)
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ISBN 10: 0521061245
ISBN 13: 9780521061247
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EOM: 52 Handbk Categorcl Algebra v3: Sheaf Theory v. 3 (Encyclopedia of Mathematics and its Applications)
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory
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Paperback. Condition: New. 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. Seller Inventory # LU-9780521061247
Quantity: Over 20 available
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Handbook of Categorical Algebra 3 : Categories of Sheaves
Published by
Cambridge University Press, 2008
ISBN 10: 0521061245
ISBN 13: 9780521061247
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