Weak quasicircles have Lipschitz dimension 1

DOI10.54330/afm.113453zbMath1483.30101arXiv2006.06847OpenAlexW4206038343MaRDI QIDQ5024068

David M. Freeman

Publication date: 28 January 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06847

zbMATH Keywords

bi-Lipschitz embeddingsquasisymmetric mappingsLipschitz dimensionLipschitz light mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Dimension theory in general topology (54F45) Geometric embeddings of metric spaces (30L05)

Related Items (3)

Lipschitz functions on unions and quotients of metric spaces ⋮ A non-injective Assouad-type theorem with sharp dimension ⋮ Lipschitz functions on quasiconformal trees

Cites Work

• Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\)
• Quasicircles and bounded turning circles modulo bi-Lipschitz maps
• Inverse limits. From continua to chaos
• Bounded turning circles are weak-quasicircles
• Quasisymmetric embeddings of metric spaces
• On the Lipschitz dimension of Cheeger–Kleiner
• Profinite Groups

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