Continuous or measurable selections (Q2266137)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous or measurable selections |
scientific article |
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Continuous or measurable selections (English)
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1984
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We give a characterization of set-valued mappings from a topological (measure) space into the class of real non-empty intervals admitting a continuous (measurable) selection. As an application we obtain a characterization of set-valued functions defined on \({\mathbb{R}}^ n\) admitting an approximately continuous or an approximately continuous and almost everywhere continuous selection.
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measurabe selections
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set-valued mappings
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almost everywhere continuous selection
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