Title
A Wallman-Shanin-type compactification for approach spaces A Wallman-Shanin-type compactification for approach spaces
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Provo, Utah ,
Subject
Mathematics
Source (journal)
The Rocky Mountain journal of mathematics. - Provo, Utah
Volume/pages
30(2000) :4 , p. 1381-1419
ISSN
0035-7596
ISI
000166996100011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In [11] a Cech-Stone-type compactification theory was developed for UAP(2). In this paper we construct a Wallman-Shanin-type compactification theory for weakly symmetric T-1 approach spaces which form a full subcategory of AP properly containing UAP(2). For a weakly symmetric ii approach space, we also investigate the relation between the topological bicoreflection of its Wallman-type compactification and the classical Wallman compactification of its topological bicoreflection, and we show that our theory extends the classical topological Wallman compactification theory. It is shown in [14] that our present theory also extends the Cech-Stone-type theory from [11].
Full text (open access)
https://repository.uantwerpen.be/docman/irua/92ec0d/3077.pdf
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