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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.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)] ext…