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Completeness using pairs of filters. (English) Zbl 0770.54027

The authors investigate three kinds of completeness in quasi-uniform \(T_ 1\)-spaces: \(D\)-completeness, strong \(D\)-completeness, and pair completeness (=bicompleteness). In particular these properties are studied in the class of uniformly regular quasi-uniform spaces.
Among other things they show that those three concepts of completeness agree in a uniform space or in any equinormal uniformly regular quasi- uniform space.
Reviewer: H.P.Künzi (Bern)

MSC:

54E15 Uniform structures and generalizations
54E52 Baire category, Baire spaces
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References:

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