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EOM: 52 Handbk Categorcl Algebra v3: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52) - Softcover

 
9780521061247: EOM: 52 Handbk Categorcl Algebra v3: Volume 3, Sheaf Theory (Encyclopedia of Mathematics and its Applications, Series Number 52)

Synopsis

Third in a three part set, this volume introduces topos theory and the idea of sheaves.

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Review

" . . . these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews

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. There is ample material here for a graduate course in category theory, and the books should also serve as a reference for users.

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9780521441803: Handbook of Categorical Algebra: Volume 3, Sheaf Theory: 52 (Encyclopedia of Mathematics and its Applications, Series Number 52)

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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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521061247

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