On \(sg\)-regular space (Q2726135)
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scientific article; zbMATH DE number 1620025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(sg\)-regular space |
scientific article; zbMATH DE number 1620025 |
Statements
19 February 2003
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\(sg\)-normal space
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\(sg\)-closed set
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semi-\(T_{1/2}\)
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\(sg\)-regular space
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On \(sg\)-regular space (English)
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A topological space is called \(sg\)-regular if for each \(sg\)-closed set \(F\) and each point \(x\notin F\) there exist disjoint semi-open sets \(U\) and \(V\) containing \(F\) and \(x\), respectively. The authors introduce and study this notion to some extent. In particular, it is shown that every semi-regular semi-\(T_{1/2}\) space is \(sg\)-regular, and that the semi-homeomorphic image of a \(sg\)-regular space is \(sg\)-regular.
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