Title
On the epireflectivity of the Wallman-Shanin-type compactification for approach spaces On the epireflectivity of the Wallman-Shanin-type compactification for approach spaces
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Dordrecht ,
Subject
Mathematics
Source (journal)
Applied categorical structures. - Dordrecht, 1993, currens
Volume/pages
8(2000) :4 , p. 607-637
ISSN
0927-2852
ISI
000165088800003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper, we study the functorial behaviour of the Wallman-Shanin-type compactification for weakly symmetric T-1 approach spaces, as defined in (R. Lowen and M. Sioen [13]). We do this by generalizing the technique used by H. L. Bentley and S. A. Naimpally in their paper [2], yielding a recharacterization of our quantified compactification theory in terms of contiguity clusters of [0, infinity]-valued functionals and we also define a construct WS (which is the counterpart of SEP in [2]) on a suitable non-full subconstruct of which the Wallman-Shanin-type compactification determines an epireflection.
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