Gromov hyperbolic discrete spaces and their application to extension of classes of mappings

DOI10.1134/S1064562411030240zbMath1279.30056OpenAlexW2091331052MaRDI QIDQ656338

Dmitrĭ Aleksandrovich Trotsenko

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411030240

zbMATH Keywords

metric spaceGromov hyperbolic space\(\lambda\)-sequencenear-Lipschitz functionsquasi-convex\((M, \lambda)\)-weak property extendability\(\lambda\)-fundamental groups\(\lambda\)-homotopy

Mathematics Subject Classification ID

Riemann surfaces (30F99) Quasiconformal mappings in metric spaces (30L10) Analysis on metric spaces (30L99)

Related Items (1)

An extendability condition for bilipschitz functions

Cites Work

• Uniformly perfect sets and the Poincaré metric
• Quasiconformal maps in metric spaces with controlled geometry
• Hausdorff dimension of uniformly non-flat sets with topology
• Plane sets allowing bilipschitz extensions
• Bilipschitz and quasisymmetric extension properties
• Thick sets and quasisymmetric maps
• Isometric approximation

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