V. Bilet

activity

20122024

most citedUniform boundedness of pretangent spaces, local constancy of metric derivatives and strong right upper porosity at a point

5 citations · 9 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.GN2022

Completeness, Closedness and Metric Reflections of Pseudometric Spaces

Viktoriia Bilet, Oleksiy Dovgoshey

It is well-known that a metric space $(X, d)$ is complete iff the set $X$ is closed in every metric superspace of $(X, d)$ . For a given pseudometric space $(Y, ρ)$ , we describe the…

math.CO2022

When all Permutations are Combinatorial Similarities

Viktoriia Bilet, Oleksiy Dovgoshey

Let $(X, d)$ be a semimetric space. A permutation $Φ$ of the set $X$ is a combinatorial self similarity of $(X, d)$ if there is a bijective function $f : d (X^{2}) \to d (X^{2})$ su…