Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space
type: Item
instance of: scholarly article
title: Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space
zbMATH Open document ID: 0723.54034
DOI: 10.1007/BF02811880
author: D. Kharzeev
published in: Israel Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: 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)].
reviewed by: Mihai Turinici
Mathematics Subject Classification ID: 54F65
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 4192634
zbMATH Keywords: Polish space
zbMATH Keywords: extreme points
zbMATH Keywords: compact convex set
MaRDI profile type: Publication
cites work: Q4185470
cites work: A New Proof that every Polish Space is the Extreme Boundary of a Simplex
cites work: Q5541832
cites work: Extreme boundaries of convex bodies in \(\ell_2\)
cites work: Extreme point properties of convex bodies in reflexive Banach spaces
full work available at URL: https://doi.org/10.1007/bf02811880
OpenAlex ID: W2058655147
description: scientific article; zbMATH DE number 4192634