Contact points of convex bodies
type: Item
instance of: scholarly article
title: Contact points of convex bodies
zbMATH Open document ID: 0896.52008
DOI: 10.1007/BF02760924
published in: Israel Journal of Mathematics
publication date: 1998-09-21T00:00:00Z
review text: The author proves that given some positive \(\varepsilon\) and \(n\)-dimensional convex body, there is another convex body having \(m\) contact points whose Banach-Mazur distance from \(B\) is at most \(\varepsilon +1 \) with \(m\leq C(\varepsilon)n\log^3{n}\). The author announces a similar theorem with the first power of \(\log n\) whose proof will appear elsewhere.
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 46B09
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 1123738
zbMATH Keywords: contact points
zbMATH Keywords: Banach-Mazur distance
author: Mark Rudelson
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1123738