Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces (Q941980)
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scientific article; zbMATH DE number 5319781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces |
scientific article; zbMATH DE number 5319781 |
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Uniformly superparacompact, completely paracompact, and strongly paracompact uniform spaces (English)
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3 September 2008
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A uniform space \((X,U)\) is said to be \(R\)-superparacompact \((R\)-strongly paracompact) if any open cover of \((X,U)\) has a uniformly finite-component (uniformly star-finite) open refinement. The aim of the paper is to characterize uniformly \(R\)-superparacompact spaces with the help of uniformly \(R\)-strongly paracompact spaces. For this purpose, properties of the induced topology are used.
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uniformly finite-component
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uniformly star-finite
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\(R\)-superparacompact
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\(R\)-strongly paracompact
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