Almost bi-Lipschitz embeddings using covers of balls centred at the origin

DOI10.1016/J.JMAA.2020.124447zbMath1471.54007arXiv2001.02607OpenAlexW3046944183MaRDI QIDQ2226336

Alexandros Margaris

Publication date: 12 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02607

zbMATH Keywords

Banach spacesAssouad dimensionbi-Lipschitz embeddings

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Dimension theory in general topology (54F45) Embedding (54C25)

Cites Work

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• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Assouad's theorem with dimension independent of the snowflaking
• On the nonexistence of bilipschitz parameterizations and geometric problems about \(A_ \infty\)-weights
• Almost bi-Lipschitz embeddings and almost homogeneous sets
• Linear embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces
• Plongements lipschitziens dans ${\bbfR}\sp n$
• Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
• Embedding properties of sets with finite box-counting dimension
• Bilipschitz embeddings of metric spaces into space forms

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