Sets in ℝ^{𝕕} with slow-decaying density that avoid an unbounded collection of distances

DOI10.1090/proc/14802zbMath1461.11024arXiv1906.00492OpenAlexW2981019563MaRDI QIDQ5210926

Alex Rice

Publication date: 16 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00492

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Density, gaps, topology (11B05)

Related Items (1)

The density of sets containing large similar copies of finite sets

Cites Work

• A Szemerédi type theorem for sets of positive density in \(\mathbb R^k\)
• Distance sets corresponding to convex bodies
• Plane Sets with Positive Density at Infinity Contain all Large Distances
• Unnamed Item

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