Möbius maps between ultrametric spaces are local similarities

DOI10.5186/AASFM.2012.3725zbMath1294.30041OpenAlexW2312636460MaRDI QIDQ2906171

Zair Ibragimov

Publication date: 5 September 2012

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2012.3725

zbMATH Keywords

ultrametric spacechordal ultrametriclocal similarity, Möbius map

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (9)

Deformations on symbolic Cantor sets and ultrametric spaces ⋮ Metric transforms yielding Gromov hyperbolic spaces ⋮ On ultrametric-preserving functions ⋮ Trees and ultrametric Möbius structures ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ A hyperbolic filling for ultrametric spaces ⋮ Finite ultrametric balls ⋮ The range of ultrametrics, compactness, and separability ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces

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