Extension of continuous functions on \(L\)-fuzzy topological spaces (Q2772740)
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scientific article; zbMATH DE number 1708185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of continuous functions on \(L\)-fuzzy topological spaces |
scientific article; zbMATH DE number 1708185 |
Statements
11 August 2002
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\(L\)-topological space
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\(L\)-real functions
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continuous extension
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Extension of continuous functions on \(L\)-fuzzy topological spaces (English)
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Some results concerning continuous extensions of functions from a subspace of an \(L\)-topological space to the Hutton \(L\)-real line are briefly surveyed; and some related questions are raised, some of these questions are long-standing. For more material and questions on this topic see the papers of the author and his collaborators [\textit{T. Kubiak} and \textit{M. A de Prada Vicente}, Fuzzy Sets Syst. 105, No. 2, 277-285 (1999; Zbl 0929.54007); \textit{T. Kubiak} in `Mathematics of fuzzy sets: Logic, topology and measure theory', Handb. Fuzzy Sets Ser. 3, 433-479 (1999; Zbl 0977.54007)].NEWLINENEWLINEFor the entire collection see [Zbl 0972.00067].
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