Approximation relations on the posets of pseudometrics and of pseudoultrametrics

Authors

  • S.I. Nykorovych Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
https://doi.org/10.15330/cmp.8.1.150-157

Keywords:

pseudometric, pseudoultrametric, way below, way above
Published online: 2016-06-30

Abstract

We show that non-trivial "way below" and "way above" relations on the posets of all pseudometrics and of all pseudoultrametrics on a fixed set $X$ are possible if and only if the set $X$ is finite.

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How to Cite
(1)
Nykorovych, S. Approximation Relations on the Posets of Pseudometrics and of Pseudoultrametrics. Carpathian Math. Publ. 2016, 8, 150-157.