Approximation relations on the posets of pseudometrics and of pseudoultrametrics

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.

Authors and Affiliations

S. I. Nykorovych

Keywords

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  • EP ID EP262985
  • DOI 10.15330/cmp.8.1.150-157
  • Views 82
  • Downloads 0

How To Cite

S. I. Nykorovych (2016). Approximation relations on the posets of pseudometrics and of pseudoultrametrics. Карпатські математичні публікації, 8(1), 150-157. https://europub.co.uk/articles/-A-262985