Showing 2025Show all
2 papers · 1 filter
math.GN2025
On quasisymmetric mappings between ultrametric spaces
Evgeniy Petrov, Ruslan Salimov
In 1980 P. Tukia and J. Väisälä in seminal paper [P. Tukia and J. Väisälä, Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn., Ser. A I, Math. 5, 97--114 (1980…
math.GN2025
On the uniqueness of continuation of a partially defined metric
Evgeniy Petrov
The problem of continuation of a partially defined metric can be efficiently studied using graph theory. Let be an undirected graph with the set of vertices and the…