Title
Sheaves on involutive quantales: Grothendieck quantales Sheaves on involutive quantales: Grothendieck quantales
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Computer. Automation
Source (journal)
Fuzzy sets and systems: an international journal of soft computing and intelligent. - Amsterdam
Volume/pages
256(2014) , p. 117-148
ISSN
0165-0114
ISI
000343783600006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We show that sheaves on Grothendieck quantales, which are the quantales that correspond to Grothendieck toposes, may be defined in several equivalent ways. The main topic of this paper is the characterization of internal posets and suplattices in the topos of sheaves on a Grothendieck quantale Q, in terms of categories enriched in a suitable quantaloid and by means of Q-modules. We thereby extend the existing results concerning locales. (C) 2013 Elsevier B.V. All rights reserved.
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