Publication
Title
Elementary characterisation of small quantaloids of closed cribles
Author
Abstract
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.
Language
English
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Publication
Amsterdam : 2012
ISSN
0022-4049
Volume/pages
216:8/9(2012), p. 1952-1960
ISI
000305670800023
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.08.2012
Last edited 04.10.2017
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