O. Dovgoshey

activity

20092026

most citedProducts of metric spaces, covering numbers, packing numbers and characterizations of ultrametric spaces

24 citations · 98 across the 69 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.MG2019★ 4 cited

P-adic metric preserving functions and their analogues

Robert W. Vallin, Oleksiy A. Dovgoshey

The $p$ -adic completion $Q_{p}$ of the rational numbers induces a different absolute value $∣ \cdot ∣_{p}$ than the typical $∣ \cdot ∣$ we have on the real numbers. In this pape…

math.MG2019★ 2 cited

Combinatorial properties of ultrametrics and generalized ultrametrics

O. Dovgoshey

Let $X$ , $Y$ be sets and let $Φ$ , $Ψ$ be mappings with domains $X^{2}$ and $Y^{2}$ respectively. We say that $Φ$ and $Ψ$ are combinatorially similar if there are bijections $f \col…

math.MG2019★ 2 cited

Combinatorial characterization of pseudometrics

O. Dovgoshey, J. Luukkainen

Let $X$ , $Y$ be sets and let $Φ$ , $Ψ$ be mappings with the domains $X^{2}$ and $Y^{2}$ respectively. We say that $Φ$ is combinatorially similar to $Ψ$ if there are bijections $f \c…

math.MG2019

On ultrametric-preserving functions

Oleksiy Dovgoshey

Characterizations of pseudoultrametric-preserving functions and semimetric-preserving functions are found. The structural properties of pseudoultrametrics which can be represented…

math.GR2019

Semigroups generated by partitions

O. Dovgoshey

Let $X$ be a nonempty set and $X^{2}$ be the Cartesian square of $X$ . Some semigroups of binary relations generated partitions of $X^{2}$ are studied. In particular, the algebraic st…