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- W2913473659 abstract "Kunzi and Ferrario have shown that a $T_0$ space is sober if and only if it is bicomplete in the well-monotone quasi-uniformity. We prove a pointfree version of this result: a strictly zero-dimensional biframe is a congruence biframe if and only if it is bicomplete in the same quasi-uniformity. As a corollary we obtain a new proof of a result of Plewe that a congruence frame is ultraparacompact. The main result makes use of a new construction of the bicompletion of a quasi-uniform biframe as a quotient of the Samuel compactification." @default.
- W2913473659 created "2019-02-21" @default.
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- W2913473659 date "2020-03-01" @default.
- W2913473659 modified "2023-10-18" @default.
- W2913473659 title "The congruence biframe as a quasi-uniform bicompletion" @default.
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- W2913473659 doi "https://doi.org/10.1016/j.topol.2019.106968" @default.
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