Geometry and quasisymmetric parametrization of Semmes spaces

DOI10.4171/RMI/802zbMath1322.30021arXiv1111.2197WikidataQ109550656 ScholiaQ109550656MaRDI QIDQ461284

Pekka Pankka, Jang-Mei G. Wu

Publication date: 10 October 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2197

zbMATH Keywords

quasisymmetrydecomposition spaceBing doublelinear local contractibilityLoewner spaceSemmes metric

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10) Geometric embeddings of metric spaces (30L05)

Related Items (7)

An upper gradient approach to weakly differentiable cochains ⋮ Quasispheres and metric doubling measures ⋮ Uniformization of two-dimensional metric surfaces ⋮ Quasiconformal non-parametrizability of almost smooth spheres ⋮ Quasiregular ellipticity of open and generalized manifolds ⋮ Quasisymmetric spheres over Jordan domains ⋮ Bing meets Sobolev

Cites Work

• Unnamed Item
• A decomposition of \(E^ 3\) into points and tame arcs such that the decomposition space is topologically different from \(E^ 3\)
• The Cartesian product of a certain nonmanifold and a line is \(E^4\)
• Strange actions of groups on spheres
• Shrinking without lengthening
• Quasisymmetric parametrizations of two-dimensional metric spheres
• A homeomorphism between the 3-sphere and the sum of two solid horned spheres
• Cell-Like Closed-0-Dimensional Decompositions of R 3 are R 4 Factors

This page was built for publication: Geometry and quasisymmetric parametrization of Semmes spaces