Higher connectedness properties of support points and functionals of convex sets (Q2862942)
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scientific article; zbMATH DE number 6231101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher connectedness properties of support points and functionals of convex sets |
scientific article; zbMATH DE number 6231101 |
Statements
20 November 2013
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convex set
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support point
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support functional
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absolute retract
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0.9616468
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0.9348084
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0.9230536
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0.9057868
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0.8996159
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0.8991213
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Higher connectedness properties of support points and functionals of convex sets (English)
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The authors prove that the set of support points of a non-empty closed bounded set in a real infinite-dimensional Banach space is \(AR\) (\(\sigma\)-compact) and contractible. Some analogs are given for the set of all support functionals.
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