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- W2017320797 abstract "Abstract Quasi-completeness was considered in [16], where a quasi-completion was constructed for any quasi-nearness biframe. In this paper, we compare the familiar notions of compactness and total boundedness with quasi-completeness. We investigate the uniqueness of quasi-completions, using the full and balanced biframes of [17]. In the case of quasi-uniform biframes it makes sense to compare this quasi-completion with the completion of [13] and [14] – surprisingly, they need not coincide. Mathematics Subject Classification (2010): 06D2254E1554E55Keywords: Framebiframenearnessquasi-nearnesspaircoverquasi-uniformquasi-completepart-preserving right adjointuniformly-generating mapstrict surjectionquas-icompletionsmoothstrongtotally boundedbalancedfullstablesmallest dense quotient" @default.
- W2017320797 created "2016-06-24" @default.
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- W2017320797 date "2012-03-01" @default.
- W2017320797 modified "2023-10-11" @default.
- W2017320797 title "Quasi-nearness biframes: unique completions and related covering properties" @default.
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- W2017320797 doi "https://doi.org/10.2989/16073606.2012.671168" @default.
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