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Elementary characterisation of small quantaloids of closed cribles | Hans Heymans
; Isar Stubbe
; | Date: |
17 Dec 2010 | Abstract: | Each small site (C,J) determines a small quantaloid of closed cribles R(C,J).
We prove that a small quantaloid Q is equivalent to R(C,J) for some small site
(C,J) if and only if there exists a (necessarily subcanonical) Grothendieck
topology J on the category Map(Q) of left adjoints in Q such that
Q=R(Map(Q),J), if and only if Q is locally localic, map- discrete, weakly
tabular and weakly modular. If moreover coreflexives split in Q, then the
topology J on Map(Q) is the canonical topology. | Source: | arXiv, 1012.3870 | Services: | Forum | Review | PDF | Favorites |
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