Generalized quasi-proximities (Q868303)
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scientific article; zbMATH DE number 5130406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized quasi-proximities |
scientific article; zbMATH DE number 5130406 |
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Generalized quasi-proximities (English)
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2 March 2007
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The authors study relationships between different notions of two important topological concepts: uniformity and proximity in fuzzy topological spaces. They prove that \(s\)-fuzzy remote neighborhood spaces are isomorphic to topological fuzzy remote neighborhood spaces. Moreover the same category of spaces is found to be isomorphic to \(s\)-fuzzy quasi proximity spaces and can be embedded as a bireflective full subcategory of fuzzy quasi proximity spaces and these in turn, can be embedded in fuzzy pointwise quasi uniform spaces as a bireflective full subcategory. The paper is very theoretical and there are no applications considered or even mentioned in it.
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L-fuzzy co-topology
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fuzzy remote neighborhood system
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generalized pointwise \(S\)-quasi-uniformity
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generalized \(S\)-quasi-proximity
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generalized quasi-proximity
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