Title
Local metrically generated theories
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Topology and its applications. - Amsterdam
Volume/pages
159(2012) :9 , p. 2320-2330
ISSN
0166-8641
ISI
000305312200010
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper we prove that for every metrically generated theory (Colebunders and Lowen, 2005 [4]) there exists a largest, what we call local metrically generated theory underlying it. We illustrate this result by looking at the traditional case of the categories of topological spaces and quasi-uniform spaces (Künzi, 2001 [10]) and also by looking at the categories of approach spaces (Lowen, 1997 [11]) and quasi-uniform gauge spaces (Lowen, 2004 [12]) and some of their usual sub- and supercategories (Choquet, 1948 [1]; Colebunders and Lowen, 1989 [2]; Herrlich, 1987 [9]; Preuss, 1988 [14]).
E-info
https://repository.uantwerpen.be/docman/iruaauth/ccffbf/66d2102.pdf
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