Handbook of Categorical Algebra: Volume 3, Sheaf Theory

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Cambridge University Press, 8 déc. 1994 - 522 pages
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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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Table des matières

1 Locales
1
2 Sheaves
87
3 Grothendieck toposes
192
4 The classifying topos
244
5 Elementary toposes
288
6 Internal logic of a topos
342
7 The law of excluded middle
432
8 The axiom of infinity
453
9 Sheaves in a topos
486
Bibliography
514
Index
517
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