Open AccessApproximation relations on the posets of pseudometrics and of pseudoultrametrics
Author(s) -
Svyatoslav Nykorovych
Publication year - 2016
Publication title -
carpathian mathematical publications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.8.1.150-157
Subject(s) - mathematics , set (abstract data type) , star product , combinatorics , pure mathematics , algebra over a field , discrete mathematics , computer science , programming language
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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