Separately continuous functions and stratifiable spaces (Q2850461)
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scientific article; zbMATH DE number 6212601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separately continuous functions and stratifiable spaces |
scientific article; zbMATH DE number 6212601 |
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26 September 2013
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separately continuous function
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stratifiable space
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Separately continuous functions and stratifiable spaces (English)
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The authors deal with separately continuous functions and their analogues, the values of which belong to a space being close to a metrizable one. The authors demonstrate that the space \(C_p[0,1]\) is semi-stratifiable but is not a \(\sigma\)-metrizable. They also prove a theorem on joint continuity of separately continuous functions \(f:X_1\times\cdots\times X_n \to C_p[0,1]\).
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