Abstract
The starting point of this paper is the interpretation of Grothendieck's topologies in the language of relational systems (cfr. [5]); this permits an arithmetical study of these topologies. By applying new techniques introduced here, we have achieved interesting results. These include a new characterization of Noetherian topological spaces, and further topological structures of local type (tangent sites) for which we have shown numerous properties. Finally, we have used the affine-envelope functor to illustrate some applications to the theory of schemes.
Original language | French |
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Pages (from-to) | 49-94 |
Number of pages | 46 |
Journal | Annali dell'Università di Ferrara |
Volume | 22 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1976 |
Externally published | Yes |