Finitely generated quasi-proximities (Q1288914)

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scientific article; zbMATH DE number 1288358
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Finitely generated quasi-proximities
scientific article; zbMATH DE number 1288358

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    Finitely generated quasi-proximities (English)
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    18 May 1999
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    The author is concerned with the proximal properties of relators (nonvoid families of binary relations on a set \(X\)). The main result of the paper states that a finitely generated quasi-proximity is simple. As a by-product of a study of proximity properties of relators, the author obtains also the generalization of a result due to \textit{H. Kenyon} [Trans. Am. Math. Soc. 107, 1-9 (1963; Zbl 0114.01102)].
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    proximity
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    relator
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    quasi-proximity
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    binary relation
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