On point sets fixing a convex body from within
type: Item
instance of: scholarly article
title: On point sets fixing a convex body from within
zbMATH Open document ID: 0887.52005
author: Irmina Herburt
author: Peter Brass
published in: Beiträge zur Algebra und Geometrie
publication date: 1997-06-09T00:00:00Z
full work available at URL: https://eudml.org/doc/226191
full work available at URL: no.1
review text: For a convex body \(K \subset \mathbb{R}^d\) a finite subset \(S\) is called fixing \(K\) from within if any translation \(t\neq 0\) moves at least on point of \(S\) outside \(K\). In answering a question of V. Soltan, the authors show that any finite \(S\) fixing a \(d\)-dimensional body \(K\) from within contains a subset of a most \(2d\) points with the same property.
Mathematics Subject Classification ID: 52A35
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52C99
zbMATH DE Number: 1018689
zbMATH Keywords: convex body
zbMATH Keywords: fixing set
zbMATH Keywords: minimal number
reviewed by: Wolfgang Weil
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1018689