English

Universal metric spaces according to W. Holsztynski

General Topology 2007-05-23 v1

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).

Keywords

Cite

@article{arxiv.math/0004091,
  title  = {Universal metric spaces according to W. Holsztynski},
  author = {S. Ovchinnikov},
  journal= {arXiv preprint arXiv:math/0004091},
  year   = {2007}
}

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3 pages