Nagata dimension and quasi-Möbius maps

DOI10.1090/S1088-4173-08-00173-2zbMath1139.54025MaRDI QIDQ5448898

Xiangdong Xie

Publication date: 7 March 2008

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

metric inversionquasi-Möbius mapsNagata dimension

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Dimension theory in general topology (54F45)

Related Items (3)

Some invariant properties of quasi-Möbius maps ⋮ Approximating spaces of Nagata dimension zero by weighted trees ⋮ Moduli of curve families and (quasi-)conformality of power-law entropies

Cites Work

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• Quasimöbius maps
• Rigidity for quasi-Möbius group actions
• Lectures on analysis on metric spaces
• Embedding of hyperbolic spaces in the product of trees
• On hypersphericity of manifolds with finite asymptotic dimension
• A Hurewicz theorem for the Assouad-Nagata dimension
• Dimensions of locally and asymptotically self-similar spaces
• Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity

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