A new simple family of Cantor sets in \(\mathbb{R}^3\) all of whose projections are one-dimensional
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Publication:2219267
DOI10.1016/j.topol.2020.107452OpenAlexW3106794569MaRDI QIDQ2219267
Publication date: 19 January 2021
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.02372
embeddingself-similarityEuclidean spaceprojectionCantor setHausdorff dimensionHausdorff measureLebesgue measuretopological dimensionAntoine's necklacedemension (embedding dimension)
Cites Work
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- Alfred Tarski
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- An example of a simple arc in space whose projection in every plane has interior points
- A Solution of the "Plank Problem"
- A 4-dimensional 1-LCC shrinking theorem
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