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• W2027454805 abstract "Abstract A characterization of the topological spaces that possess a bicomplete fine quasi-uniformity is obtained. In particular we show that the fine quasi-uniformity of each sober space, of each first-countable T 1 -space and of each quasi-pseudo-metrizable space is bicomplete. Moreover we give examples of T 1 -spaces that do not admit a bicomplete quasi-uniformity. We obtain several conditions under which the semi-continuous quasi-uniformity of a topological space is bicomplete and observe that the well-monotone covering quasiuniformity of a topological space is bicomplete if and only if the space is quasi-sober." @default.
• W2027454805 created "2016-06-24" @default.
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• W2027454805 date "1991-01-01" @default.
• W2027454805 modified "2023-09-23" @default.
• W2027454805 title "Bicompleteness of the fine quasi-uniformity" @default.
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• W2027454805 doi "https://doi.org/10.1017/s0305004100069644" @default.
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