Functionally paraconvex sets (Q1896982)
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scientific article; zbMATH DE number 795652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functionally paraconvex sets |
scientific article; zbMATH DE number 795652 |
Statements
Functionally paraconvex sets (English)
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12 September 1995
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Let \(P\) be a subset of a Banach space \(E\). The author defines when \(P\) is functionally \(h\)-paraconvex. He proves that the Michael's classical theorem on continuous selections holds for wide classes of lower semicontinuous maps of a paracompact space into the Banach space \(E\) whose values are \(h\)-paraconvex.
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continuous selection
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Banach space
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lower semicontinuity
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