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Title
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On the epireflectivity of the Wallman-Shanin-type compactification for approach spaces
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Applied categorical structures. - Dordrecht, 1993, currens
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Publication
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Dordrecht
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2000
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ISSN
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0927-2852
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DOI
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10.1023/A:1008670621730
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Volume/pages
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8
:4
(2000)
, p. 607-637
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ISI
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000165088800003
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Full text (Publisher's DOI)
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