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On the order conditions of fuzzy convergence classes. - MaRDI portal

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On the order conditions of fuzzy convergence classes. (Q1429780)

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scientific article; zbMATH DE number 2066686
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English
On the order conditions of fuzzy convergence classes.
scientific article; zbMATH DE number 2066686

    Statements

    On the order conditions of fuzzy convergence classes. (English)
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    27 May 2004
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    Studying convergence classes for completely distributive lattices (as in [\textit{G. Gierz}, \textit{K. H. Hofmann}, \textit{K. Keimel}, \textit{J. D. Lawson}, \textit{M. Mislove} and \textit{D. S. Scott}, A compendium of continuous lattices (Springer-Verlag, Berlin) (1980; Zbl 0452.06001)]) and, in particular, the relationship between the lim inf condition and two related conditions proposed by Liu and Wang, respectively, the author establishes the theory of convergence classes for topological molecular lattices, \(L\)-topological spaces, weakly induced spaces and induced spaces.
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    topological molecular lattice
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    net
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    convergence class
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    \(L\)-topological space
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    induced space
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