Ramsey-type results for metric spaces
type: Item
instance of: scholarly article
title: Ramsey-type results for metric spaces
zbMATH Open document ID: 0625.05002
DOI: 10.1016/0097-3165(87)90025-2
author: Péter Komjáth
published in: Journal of Combinatorial Theory. Series A
publication date: 1987-01-01T00:00:00Z
review text: The author proves the following ``Ramsey type'' theorem for metric spaces: ``If X, a metric space, is either finite, or the one consisting of the points \(\{x_ i:\) \(i\leq \omega \}\) with \(dist(x_ i,x_ j)=2^{-i}\) for \(i\leq j\leq \omega\), k is a cardinal, then there is a metric space Y such that k-coloring the points of Y there always exists a monocolored isometric copy of X.''
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 4014730
zbMATH Keywords: metric space
reviewed by: Jack E. Graver
MaRDI profile type: Publication
full work available at URL: 0097-3165(87)90025-2
OpenAlex ID: W1963741688
cites work: On chromatic number of graphs and set-systems
cites work: A partition calculus in set theory
cites work: Q4111618
cites work: Q3972757
description: scientific article; zbMATH DE number 4014730