Delone sets that are not rectifiable under Lipschitz co-uniformly continuous bijections
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Publication:6110846
DOI10.1016/j.jmaa.2023.127354arXiv2105.00515OpenAlexW4367296905MaRDI QIDQ6110846
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.00515
Functions of several variables (26Bxx) Classical measure theory (28Axx) Topological spaces with richer structures (54Exx)
Cites Work
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- Some examples of repetitive, nonrectifiable Delone sets
- Mapping \(n\) grid points onto a square forces an arbitrarily large Lipschitz constant
- On a partial differential equation involving the Jacobian determinant
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- Uniform quotient mappings of the plane
- Rectifying separated nets
- Resolutions of the prescribed volume form equation
- Metric embeddings. Bilipschitz and coarse embeddings into Banach spaces
- Densities non-realizable as the Jacobian of a 2-dimensional bi-Lipschitz map are generic
- On the Volume Elements on a Manifold
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