organism
发表于 2025-3-25 06:45:52
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emulsify
发表于 2025-3-25 08:10:01
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evanescent
发表于 2025-3-25 15:37:25
First Properties of Elementary Topoi,order certain other basic properties. Most of these properties have already been seen to hold for our typical categories discussed in Chapter I, and for the categories of sheaves on a space (Chapter II) or on a site (Chapter III).
inundate
发表于 2025-3-25 17:51:13
Geometric Morphisms, spaces, where a continuous map .→. gives rise to an adjoint pair Sh(X) ⇄Sh(Y) of functors between sheaf topoi. The first two sections of this chapter are concerned mainly with a number of examples, and with the construction of the necessary adjunctions by analogues of the ®-Hom adjunction of module
种族被根除
发表于 2025-3-25 23:12:43
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不规则
发表于 2025-3-26 01:10:06
Localic Topoi,related class of topoi those of the sheaves on a so-called “locale”. In the case of a topological space ., a sheaf is a suitable functor on the lattice . of open sets of ., where the lattice order is defined by the inclusion relation between open sets. Thus the notion of a sheaf can be explained jus
preservative
发表于 2025-3-26 07:21:50
Geometric Logic and Classifying Topoi,on,Geometric logic is the logic of the implications between geometric formulas: .where the arrow here is for “implication” and and z/) are geometric. Many mathematical structures can be axiomatized by formulas of this form (1).For instance, local rings are axiomatized by the usual equations for a co
我悲伤
发表于 2025-3-26 10:33:39
Textbook 1994 the various original sources. Moreover, a number of people have assisted in our work by pro viding helpful comments on portions of the manuscript. In this respect, we extend our hearty thanks in particular to P. Corazza, K. Edwards, J. Greenlees, G. Janelidze, G. Lewis, and S. Schanuel.
Inculcate
发表于 2025-3-26 14:34:50
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Recessive
发表于 2025-3-26 20:39:46
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