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Title
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A Wallman-Shanin-type compactification for approach spaces
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Author
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Abstract
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| 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]. |
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Language
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English
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Source (journal)
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The Rocky Mountain journal of mathematics. - Provo, Utah
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Publication
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Provo, Utah
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2000
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ISSN
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0035-7596
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DOI
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10.1216/RMJM/1021477356
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Volume/pages
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30
:4
(2000)
, p. 1381-1419
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ISI
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000166996100011
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Full text (Publisher's DOI)
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Full text (open access)
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