On the group of fuzzy homeomorphisms (Q1260812)
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scientific article; zbMATH DE number 399026
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the group of fuzzy homeomorphisms |
scientific article; zbMATH DE number 399026 |
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On the group of fuzzy homeomorphisms (English)
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5 September 1993
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The author proves that if \(X\) is any infinite set such that the cardinality of \(X\leq c\), then the group generated by an infinite cycle can be represented as the group of fuzzy homeomorphisms for some fuzzy topology on \(X\). He also discusses the relation between the group of fuzzy homeomorphisms and the group of homeomorphisms of the associated topology.
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fuzzy homeomorphisms
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associated topology
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