Finite dimensional polish spaces are extreme boundaries of convex bodies in Euclidean space

Michael Levin; Gunnar H. Olsen; Yaki Sternfeld

doi:10.1007/BF02811880

Finite dimensional polish spaces are extreme boundaries of convex bodies in Euclidean space

Michael Levin, Gunnar H. Olsen, Yaki Sternfeld

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that every n-dimensional Polish space is homeomorphic to the set of extreme points of a compact convex set in R^18(n+1).

Original language	English
Pages (from-to)	135-143
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	71
Issue number	2
DOIs	https://doi.org/10.1007/BF02811880
State	Published - 1 Dec 1990
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Finite dimensional polish spaces are extreme boundaries of convex bodies in Euclidean space",

abstract = "It is proved that every n-dimensional Polish space is homeomorphic to the set of extreme points of a compact convex set in R 18(n+1).",

author = "Michael Levin and Olsen, {Gunnar H.} and Yaki Sternfeld",

year = "1990",

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doi = "10.1007/BF02811880",

language = "English",

volume = "71",

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journal = "Israel Journal of Mathematics",

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AU - Levin, Michael

AU - Olsen, Gunnar H.

AU - Sternfeld, Yaki

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N2 - It is proved that every n-dimensional Polish space is homeomorphic to the set of extreme points of a compact convex set in R 18(n+1).

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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ER -

Finite dimensional polish spaces are extreme boundaries of convex bodies in Euclidean space

Abstract

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