On the regularity of the topology of separate continuity (Q697597)
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scientific article; zbMATH DE number 1801755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularity of the topology of separate continuity |
scientific article; zbMATH DE number 1801755 |
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On the regularity of the topology of separate continuity (English)
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17 September 2002
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Let \(X\) and \(Y\) be topological spaces. This interesting paper deals with the unique topology \({\mathcal T}_+\) on \(X\times Y\) such that if \(Z\) is a topological space and \(f:X\times Y\to Z\) is a function, then \(f\) is separately continuous if and only if \(f\) is \({\mathcal T}_+\)-continuous. The authors investigate properties of \({\mathcal T}_+\). In particular they consider situations under which \({\mathcal T}_+\) is regular or normal.
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separately continuous functions
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regular topology
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