New characterization for a topological space to be semi-\(T_{1/2}\) (Q2720940)
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scientific article; zbMATH DE number 1611741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New characterization for a topological space to be semi-\(T_{1/2}\) |
scientific article; zbMATH DE number 1611741 |
Statements
1 July 2001
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semi-\(T_{1/2}\) space
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semi-open sets
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New characterization for a topological space to be semi-\(T_{1/2}\) (English)
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A new characterization of semi-\(T_{1/2}\) spaces is established. To do this, the author applies the recently introduced \(\lambda\)-semi-closedness. The main theorem proves that the condition for a topological space \((X,\tau)\) to be a semi-\(T_{1/2}\) is equivalent to the condition for every subset of \(X\) to be \( \lambda \)-semi-closed.
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