On compact convex sets with given extreme points
type: Item
instance of: scholarly article
title: On compact convex sets with given extreme points
zbMATH Open document ID: 0883.46007
DOI: 10.1007/BF02113915
published in: Siberian Mathematical Journal
publication date: 1998-02-23T00:00:00Z
review text: 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 \(\text{ ext}[\text{conv}[\varepsilon(N)]]=\varepsilon(M)\).
Mathematics Subject Classification ID: 46A50
Mathematics Subject Classification ID: 46A55
zbMATH DE Number: 923474
zbMATH Keywords: convex set
zbMATH Keywords: compactness
zbMATH Keywords: extreme point
zbMATH Keywords: embedding
zbMATH Keywords: injective map
author: Efim M. Bronshteĭn
reviewed by: Mihai Turinici
MaRDI profile type: Publication
cites work: Extremal structure of convex sets. II
cites work: On the Set of Extreme Points of a Convex Body
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description: scientific article; zbMATH DE number 923474