ISBN: 9780521441803

Francis Borceux (Author). 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. Next, this situation is ge… Mehr…

Francis Borceux (Author). 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. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Handbook of Categorical Algebra: Volume 3, Sheaf Theory Third in a three part set, this volume introduces topos theory and the idea of sheaves. Francis Borceux (Author) 9780521441803, Cambridge University Press Hardback, published 8 December 1994 544 pages24.1 x 16.1 x 3.3 cm, 0.929 kg " . . . these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews 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. Preface Introduction to the handbook 1. Locales 2. Sheaves 3. Grothendieck toposes 4. The classifying topos 5. Elementary toposes 6. Internal logic of a topos 7. The law of excluded middle 8. The axiom of infinity 9. Sheaves in a topos Index. Subject Areas: Mathematical foundations [PBC] , Brand New, Festpreisangebot, [LT: FixedPrice], BIC Subject Area 1: Mathematical foundations [PBC], Publication Year: 1994, Type: Textbook, Format: Hardcover, Language: English, Publication Name: Handbook of Categorical Algebra: Volume 3, Sheaf Theory, Item Height: 241mm, Item Width: 161mm, Subject: Mathematics, Item Weight: 929g, Number of Pages: 544 Pages, Cambridge University Press<

ISBN: 9780521441803

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 accessibl… Mehr…

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. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Cambridge University Press Core >2 >T<

2004, ISBN: 0521441803

Gebundene Ausgabe, mit Schutzumschlag 11, [PU:Cambridge University Press]