In: Mathematica Slovaca, vol. 70, no. 1
O. Dovgoshey
Detaily:
Rok, strany: 2020, 173 - 182
Kľúčové slová:
ultrametric; pseudoultrametric; pseudometric; ultrametric-preserving function
O článku:
Characterizations 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.
Ako citovať:
ISO 690:
Dovgoshey, O. 2020. On ultrametric-preserving functions. In Mathematica Slovaca, vol. 70, no.1, pp. 173-182. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0342
APA:
Dovgoshey, O. (2020). On ultrametric-preserving functions. Mathematica Slovaca, 70(1), 173-182. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0342
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 13. 1. 2020