Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space (Q756759)
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scientific article; zbMATH DE number 4192634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space |
scientific article; zbMATH DE number 4192634 |
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Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space (English)
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1990
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Any n-dimensional Polish space is homeomorphic to the set of extreme points of a compact convex set in \(R^{18(n+1)}\). This answers affirmatively a question posed by \textit{A. J. Lazar} [Isr. J. Math. 20, 369-374 (1975; Zbl 0311.46006)].
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Polish space
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extreme points
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compact convex set
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