Fuzzy \(T_ 1\)-topological spaces (Q761647)
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scientific article; zbMATH DE number 3888492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy \(T_ 1\)-topological spaces |
scientific article; zbMATH DE number 3888492 |
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Fuzzy \(T_ 1\)-topological spaces (English)
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1984
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The authors define fuzzy \(T_ 1\)-topological spaces (X,\(\tau)\) using fuzzy points introduced by \textit{C. K. Wong} [ibid. 46, 316-328 (1974; Zbl 0278.54004)]. \(T_ 1\)-ness is defined as weak separation by fuzzy open sets. The main theorem shows a difference to the topological analogue. A counterexample shows that the fuzzy \(T_ 1\)-property does not imply that each one-point subset is fuzzy closed in (X,\(\tau)\).
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