A note on Hausdorff separation in \(L\)-TOP (Q835245)
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scientific article; zbMATH DE number 5599479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Hausdorff separation in \(L\)-TOP |
scientific article; zbMATH DE number 5599479 |
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A note on Hausdorff separation in \(L\)-TOP (English)
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28 August 2009
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In this brief note it is demonstrated that results of some papers (e.g. \textit{F.-G. Shi}, Fuzzy Sets Syst. 157, 794--803 (2006; Zbl 1101.54010)]) on Hausdorff-type separation axioms in many valued topologies are reinventions of previously published results of the authors (e.g. [\textit{U. Höhle}, Many valued topology and its applications. Kluwer Acad. Publ. Boston, Dordrecht, London (2001; Zbl 0969.54002)]). The considerations are illustrated by examples of some special fuzzy topological spaces which are used to study relations between different separation axioms introduced in different papers.
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many valued topology
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Hausdorff axiom
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regularity
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continuous lattice
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omega-functor
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iota-functor
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