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- W2057311888 abstract "We observe that the well-monotone (open covering) quasiuniformity of each topological space is left K -complete. On the other hand, we exhibit an example of a topological space the fine quasiuniformity of which is not D -complete. The semicontinuous quasiuniformity of a countably metacompact space X is shown to be D -complete if and only if X is closed-complete. Moreover it is proved that the well-monotone quasiuniformity of a ccc regular space X is D -complete if and only if X is almost realcompact. We also note that a metrizable space admits a D -complete quasimetric if and only if it is an F σδ -set in every metric space in which it is embedded. Each (Tychonoff) Čech complete quasimetrizable space is shown to admit a left K -complete quasimetric." @default.
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- W2057311888 title "Some remarks on Doitchinov completeness" @default.
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