On a theorem of Choquet (Q1188303)
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scientific article; zbMATH DE number 40440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of Choquet |
scientific article; zbMATH DE number 40440 |
Statements
On a theorem of Choquet (English)
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13 August 1992
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The following result is proved: A space is hereditarily separable if and only if every family \(\mathcal F\) of real-valued functions defined on it has a countable subfamily \({\mathcal F}'\) such that \(\mathcal F\) and \({\mathcal F}'\) have the same lower-semicontinuous functions below them.
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hereditary separability
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lower-semicontinuous function
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