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

Borceux, Francis

Softcover

ISBN 10: 0521061245 ISBN 13: 9780521061247

Verlag: Cambridge University Press, 2008

Inhaltsangabe

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.

Über diesen Titel

Críticas:

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

Reseña del editor:

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.

Über diese Auflage

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2008
• ISBN 10: 0521061245
• ISBN 13: 9780521061247
• Einband: Tapa blanda
• Auflage: 1
• Anzahl der Seiten: 544