Autor(es):
Stubbe, Isar 
Data: 2006
Identificador Persistente: http://hdl.handle.net/10316/11353
Origem: Estudo Geral - Universidade de Coimbra
Assunto(s): Quantaloid; Quantale; Locale; Ordered sheaf; Module; Centre
Detalhes do Documento
More on Q-modules
Descrição
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.
Tipo de Documento
Preprint
Idioma Inglês
Idioma Inglês
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