On ultrametric-preserving functions-Reference-Cited by-同舟云学术

On ultrametric-preserving functions

Published:2020-02-25 Issue:1 Volume:70 Page:173-182
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:
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Author:

Dovgoshey Oleksiy¹

Affiliation:

1. Institute of Applied Mathematics and Mechanics of NASU, Dobrovolskogo str. 1, Slovyansk, 84100, Ukraine

Abstract

AbstractCharacterizations of pseudoultrametric-preserving functions and semimetric-preserving functions are found. The structural properties of pseudoultrametrics which can be represented as a composition of an ultrametric and ultrametric-pseudoultrametric-preserving function are obtained. A dual form of Pongsriiam-Termwuttipong characterization of the ultrametric-preserving functions is described. We also introduce a concept of k-separating family of functions and use it to characterize the ultrametric spaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0342/pdf

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