Analog of Borsuk's problem on Banach spaces (Q378021)
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scientific article; zbMATH DE number 6230987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analog of Borsuk's problem on Banach spaces |
scientific article; zbMATH DE number 6230987 |
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Analog of Borsuk's problem on Banach spaces (English)
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20 November 2013
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For every strictly convex normed space \((\mathbb{R}^n,\|\cdot\|)\), the author presents a sufficient condition for a set of constant width to possess a partition into \(n+1\) subsets of smaller diameter.
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Borsuk's problem
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normed space
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convex set
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set of constant width
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partition into subsets of smaller diameter
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Gauss map
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