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Title
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Elementary characterisation of small quantaloids of closed cribles
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Author
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Abstract
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| Each small site (C, J) determines a small quantaloid of closed cribles R(C, D). 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 congruent to 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(a) is the canonical topology. (C) 2012 Elsevier B.V. All rights reserved. |
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Language
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English
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Source (journal)
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Journal of pure and applied algebra. - Amsterdam
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Publication
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Amsterdam
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2012
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ISSN
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0022-4049
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DOI
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10.1016/J.JPAA.2012.02.032
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Volume/pages
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216
:8/9
(2012)
, p. 1952-1960
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ISI
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000305670800023
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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