3 papers
math.GN2025
Quasisymmetric mappings in b-metric spaces
Evgeniy A. Petrov, Ruslan R. Salimov
Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This r…
math.GN2024
A note on generalized four-point inequality
Evgeniy A. Petrov, Ruslan R. Salimov
In 2017 M. Bessenyei and Z. Páles introduced a definition of a triangle function which generates a concept of a generalized triangle inequality in semimetric spaces. Inspired by t…
math.GN2024
Hereditary properties of finite ultrametric spaces
Evgeniy A. Petrov
A characterization of finite homogeneous ultrametric spaces and finite ultrametric spaces generated by unrooted labeled trees is found in terms of representing trees. A characteriz…