Isometric embeddings of metric \(Q\)-vector spaces into \(Q^N\)
type: Item
instance of: scholarly article
title: Isometric embeddings of metric \(Q\)-vector spaces into \(Q^N\)
zbMATH Open document ID: 0919.15011
author: Toshihiro Kumada
published in: European Journal of Combinatorics
publication date: 1999-01-03T00:00:00Z
review text: Let \(Q\) be the field of rationals and \(W\) an \(n\)-dimensional Euclidean vector space over \(Q\). The author proves that \(W\) is isometrically embeddable in \(Q^{n+3}\) and gives an explicit algorithm for obtaining the minimum \(N\) such that \(W\) is isometrically embeddable in \(Q^N\). This answers open problems posed by \textit{H. Maehara} [Embedding a set of rational points in lower dimensions, to appear is Discrete Math. 192, 273-279 (1998; Zbl 0956.51009)].
Mathematics Subject Classification ID: 15A63
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 1235000
zbMATH Keywords: isometric embeddings
zbMATH Keywords: metric \(Q\)-vector spaces
zbMATH Keywords: algorithm
reviewed by: Rabe von Randow
MaRDI profile type: Publication
full work available at URL: eujc.1998.0220
OpenAlex ID: W2077774941
DOI: 10.1006/EUJC.1998.0220
description: scientific article; zbMATH DE number 1235000