Regular mappings and non-existence of bi-Lipschitz embeddings for slit carpets

DOI10.1016/j.aim.2020.107047OpenAlexW3005797211WikidataQ122277772 ScholiaQ122277772MaRDI QIDQ2302244

Guy C. David, Sylvester Eriksson-Bique

Publication date: 25 February 2020

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

Full work available at URL: https://arxiv.org/abs/1909.03273

zbMATH Keywords

bi-Lipschitz embeddingSierpiński carpetDavid-Semmes regular

Mathematics Subject Classification ID

Geometric embeddings of metric spaces (30L05)

Related Items (1)

Quasisymmetric embeddings of slit Sierpiński carpets

Cites Work

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• Infinitesimal structure of differentiability spaces, and metric differentiation
• Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\)
• Quasisymmetric Koebe uniformization
• Differentiability of Lipschitz functions on Banach spaces
• A Sierpiński carpet with the co-Hopfian property
• Differentiability of Lipschitz functions on metric measure spaces
• Separated nets in Euclidean space and Jacobians of biLipschitz maps
• Lectures on analysis on metric spaces
• On bi-Lipschitz embeddings
• Inverse limit spaces satisfying a Poincaré inequality
• Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces
• Differentiation of Real-Valued Functions and Continuity of Metric Projections
• Thirty-three yes or no questions about mappings, measures, and metrics
• PLANE WITH $A_{\infty}$ -WEIGHTED METRIC NOT BILIPSCHITZ EMBEDDABLE TO ${\bb R}^n$

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