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A larger class than the Deák one for the coincidence of some notions of quasi-uniform completeness using pairs of filters. (English) Zbl 1068.54035

Summary: Different types of quasi-uniform completeness are shown to coincide in certain uniformly weakly regular spaces. This result generalizes Deák’s result in J. Deák [Stud. Sci. Math. Hungar. 26, 441-413 (1991; Zbl 0778.54015)] which answers the question of P. Fletcher and W. Hunsaker [Topology Appl. 44, 149-155 (1992; Zbl 0770.54027)].

MSC:

54E15 Uniform structures and generalizations
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