Extending compatible proximities (Q1068379)
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scientific article; zbMATH DE number 3931983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extending compatible proximities |
scientific article; zbMATH DE number 3931983 |
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Extending compatible proximities (English)
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1985
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The main result of this paper is the following theorem. Let (X,\(\tau)\) be a completely regular topological space. Then X is normal if and only if for each closed subset X' of X and for each proximity \(\delta\) ' compatible with \(\tau\) \(| X'\), there is a proximity \(\delta\) on X that is compatible with \(\tau\) and \(\delta | X'=\delta '\).
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