Another note on precompact uniform frames (Q1985658)

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scientific article; zbMATH DE number 7187670
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Another note on precompact uniform frames
scientific article; zbMATH DE number 7187670

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    Another note on precompact uniform frames (English)
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    7 April 2020
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    General filters in pointfree topology are studied in detail in [\textit{B. Banaschewski} and \textit{S. S. Hong}, Kyungpook Math. J. 42, No. 2, 273--283 (2002; Zbl 1029.06005)]. In the paper under review, the authors revisit this notion and define, as in the case of classical filters, what it means to say that a general filter clusters and what it means to say that it is maximal. They use these notions to characterize certain types of frames and uniform frames.
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    frame
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    general filter
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    general ultrafilter
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    convergence
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    clustering
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    Boolean frame
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    uniform frame
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    precompact
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    (weakly) Cauchy filter
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