Title
Sheaves and sheafification on Q-sites Sheaves and sheafification on Q-sites
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Proceedings of the Royal Netherlands Academy of Arts and Sciences: series A: indagationes mathematicae / Royal Netherlands Academy of Sciences; Koninklijke Nederlandse Akademie van Wetenschappen. - Amsterdam
Volume/pages
19(2009) :4 , p. 493-506
ISSN
0019-3577
ISI
000268944700001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We introduce noncommutative sites over a quantale, the so-called Q-sites, and define appropriate presheaves and sheaves over these. We show how most of the technical machinery which allows to construct sheaves associated to arbitrary presheaves in the commutative cases transposes to this setting. This allows us to define and study sheafification in this new, noncommutative context.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/ccb9b8/4e5b1e8f.pdf
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