Einbettung endlicher metrischer Räume. (Embeddings of finite metric spaces)
type: Item
instance of: scholarly article
title: Einbettung endlicher metrischer Räume. (Embeddings of finite metric spaces)
zbMATH Open document ID: 0635.51012
author: Mathias Richter
published in: Beiträge zur Algebra und Geometrie
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138348
review text: In this work, about the problem of embedding finite-dimensional metric spaces in a known metric space by means if isometric mappings, the following theorem is proved: Every n-dimensional metric space may be embedded by an isometric mapping in the space \(({\mathbb{R}}^ k,d_ m)\), where \(d_ m(x,y)=\max_{i=1,...,k}\{| x_ i-y_ i| \}\), with x,y points of \({\mathbb{R}}^ k\), and moreover \(k\leq n(n-1).\)
reviewed by: V.Dicuonzo
Mathematics Subject Classification ID: 51K05
Mathematics Subject Classification ID: 51F99
zbMATH DE Number: 4034525
zbMATH Keywords: isometric embeddings
zbMATH Keywords: finite-dimensional metric spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4034525