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, mapdiscrete, 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 



00224049


Volume/pages 



216:8/9(2012), p. 19521960


ISI 



000305670800023


Full text (Publisher's DOI) 


 

Full text (publisher's version  intranet only) 


 
