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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52) - Softcover
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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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.
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" . . . these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews
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- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521061245
- ISBN 13 9780521061247
- BindingPaperback
- Edition number1
- Number of pages544
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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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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52)
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Handbook of Categorical Algebra: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52) [Paperback] Borceux, Francis
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Handbook of Categorical Algebra 3: Categories of Sheaves
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