Author(s):
Stubbe, Isar 
Date: 2006
Persistent ID: http://hdl.handle.net/10316/11353
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Quantaloid; Quantale; Locale; Ordered sheaf; Module; Centre
Document details
More on Q-modules
Description
A. Joyal and M. Tierney showed that the internal suplattices in the topos of sheaves on a locale are precisely the modules on that locale. Using a totally different technique, I shall show a generalization of this result to the case of (ordered) sheaves on a (small) quantaloid. Then I make a comment on module-equivalence versus sheafequivalence, using a recent observation of B. Mesablishvili and the notion of ‘centre’ of a quantaloid.
A. Joyal and M. Tierney showed that the internal suplattices in the topos of sheaves on a locale are precisely the modules on that locale. Using a totally different technique, I shall show a generalization of this result to the case of (ordered) sheaves on a (small) quantaloid. Then I make a comment on module-equivalence versus sheafequivalence, using a recent observation of B. Mesablishvili and the notion of ‘centre’ of a quantaloid.
Document Type
Preprint
Language English
Language English
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