Universal metric spaces according to W. Holsztynski

2000/04/13 by S. Ovchinnikov, Ovchinnikov, S.
Mathematics · #54E35 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54E35

paper · pdf · doi:10.48550/arxiv.math/0004091

3 pages

arxiv created 2000/04/13 · arxiv updated 2009/11/30

Abstract

We show, following W. Holsztynski, that there exists a continuous metric d on the set of real numbers R such that any finite metric space is isometrically embeddable into (R,d).

Related

• On isometric universality of spaces of metrics
• Almost isometric embeddings of metric spaces
• Partitions of metric spaces with finite distance sets
• Geometry in Urysohn's universal metric space
• Distance sets of universal and Urysohn metric spaces