Approximation relations on the posets of pseudometrics and of pseudoultrametrics

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.

Bibliographic Details
Main Author: S.I. Nykorovych
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2016-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1420