Continuous barycenter functions on convex polytopes
type: Item
instance of: scholarly article
title: Continuous barycenter functions on convex polytopes
zbMATH Open document ID: 0592.52004
author: Arne Brøndsted
published in: Expositiones Mathematicae
publication date: 1986-01-01T00:00:00Z
review text: The author reviews two results by Fuglede on barycentric functions, and he gives variant proofs and supplements. He further shows that Fuglede's results are equivalent to some obvious triangulation-theorems as e.g.: Let P be a convex polytope with vertices \(x_ 1,...,x_ m\). Then for each \(i\in \{1,...,n\}\) there is a proper triangulation into d-simplices \(T_ 1,...,T_ m\) of P such that the vertex \(x_ i\) is a vertex of each \(T_ j\).
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 3951445
zbMATH Keywords: Fuglede
zbMATH Keywords: barycentric functions
zbMATH Keywords: convex polytope
zbMATH Keywords: triangulation
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3951445