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Title
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Intrinsic approach spaces on domains
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Author
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Abstract
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| The paper is a contribution to quantifiability of domains. We show that every domain X, regardless of cardinality conditions for a domain bases, is quantifiable in the sense that there exists an approach structure on X (Lowen (1997) [9]), defined by means of a gauge of quasi metrics, inducing the Scott topology. We get weightability for free and in the case of an algebraic domain satisfying the Lawson condition (Lawson (1997) [8]), a quantifying approach space can be obtained with a weight satisfying the kernel condition. . |
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Language
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English
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Source (journal)
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Topology and its applications. - Amsterdam
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Publication
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Amsterdam
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2011
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ISSN
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0166-8641
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DOI
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10.1016/J.TOPOL.2011.01.025
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Volume/pages
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158
:1
(2011)
, p. 2343-2355
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ISI
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000296167000010
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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