International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS
$p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia




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Nickolay Leonov

Some relations between general metrics and ultrametrics

Abstract

Several results of the following kind are proved: on a metric space under some conditions an ultrametric can be defined in such a way that this ultrametric and the initial metric are close in certain measure-theoretic or probability sense.