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

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.