Title
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Compact Hausdorff approach frames
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Author
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Abstract
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In this paper we provide a HeineBorel type characterization for 0-compactness in approach spaces (Lowen 1997). Since this requires making use of the so-called regular function frame the most natural setting to develop this in is approach frames (Banaschewski 1999; Banaschewski et al., Acta Math Hung 115(3):183196, 2007, Topology Appl 153:30593070, 2006). We then go on to characterize Hausdorffness for approach frames which allows us to study some fundamental properties of compact Hausdorff approach frames. |
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Language
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English
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Source (journal)
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Order. - Dordrecht
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Publication
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Dordrecht
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2012
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ISSN
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0167-8094
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Volume/pages
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29
:1
(2012)
, p. 105-118
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ISI
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000300314600006
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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