On quasisymmetric mappings between ultrametric spaces

DOI10.1134/S2070046621030055zbMath1485.54032OpenAlexW3198773487MaRDI QIDQ2062354

Evgenii A. Petrov, Ruslan Radikovich Salimov

Publication date: 27 December 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046621030055

zbMATH Keywords

ball-preserving mappingfinite ultrametric spacequasisymmetric mappingrepresenting tree

Mathematics Subject Classification ID

Trees (05C05) Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Metric spaces, metrizability (54E35) General low-dimensional topology (57M99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

On quasisymmetric mappings in semimetric spaces

Cites Work

• Trees, ultrametrics, and noncommutative geometry
• Characterizing (quasi-)ultrametric finite spaces in terms of (directed) graphs
• On the Gomory-Hu inequality
• The boundary correspondence under quasiconformal mappings
• Lectures on analysis on metric spaces
• Weakly quasisymmetric maps and uniform spaces
• Remarks on ultrametrics and metric-preserving functions
• Diameter and diametrical pairs of points in ultrametric spaces
• Trees and ultrametric spaces: A categorical equivalence
• Quasisymmetric rigidity of square Sierpiński carpets
• The category of ultrametric spaces is isomorphic to the category of complete, atomic, tree-like, and real graduated lattices LAT\(^*\)
• The comb representation of compact ultrametric spaces
• Bounded distortion homeomorphisms on ultrametric spaces
• Quasisymmetric embeddings of metric spaces
• On ultrametric-preserving functions
• Quasihyperbolic metric and Quasisymmetric mappings in metric spaces
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