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Ditopological texture spaces and fuzzy topology. III: Separation axioms - MaRDI portal

Ditopological texture spaces and fuzzy topology. III: Separation axioms (Q853376)

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scientific article; zbMATH DE number 5073273
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Ditopological texture spaces and fuzzy topology. III: Separation axioms
scientific article; zbMATH DE number 5073273

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    Ditopological texture spaces and fuzzy topology. III: Separation axioms (English)
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    15 November 2006
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    In this, the third of three papers on ditopological texture spaces [see \textit{L. M. Brown, R. Ertürk} and \textit{S. Dost}, Fuzzy Sets Syst. 147, No. 2, 171--199 (2004; Zbl 1070.54002 and ibid. 201--231 (2004; Zbl 1070.54003)], the authors define and study dineighbourhood systems and, in the words of the authors, ``basic separation axioms in general ditopological spaces, relating these to known separation axioms for bitopological and topological spaces, and to the point-free separation axioms of \textit{B. Hutton} and \textit{I. Reilly} [Fuzzy Sets Syst. 3, 93--104 (1980; Zbl 0421.54006)] for fuzzy topological spaces''.
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    texture
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    ditopology
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    bitopology
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    separation axioms
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    Hutton spaces
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    \(L\)-topological spaces
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