On compact convex sets with given extreme points (Q1921753)
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scientific article; zbMATH DE number 923474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On compact convex sets with given extreme points |
scientific article; zbMATH DE number 923474 |
Statements
On compact convex sets with given extreme points (English)
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23 February 1998
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The aim of this paper is to determine the subsets \(M,N\) of \(\mathbb{R}^n\) with \(M\subseteq N\) in such a way that, for the number \(k\) and the map \(\varepsilon:N\rightarrow \mathbb{R}^k\) to be specified, we should have \(\text{ ext}[\text{conv}[\varepsilon(N)]]=\varepsilon(M)\).
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convex set
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compactness
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extreme point
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embedding
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injective map
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0.9621725
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0.9459892
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0.9372231
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0.9273873
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