Distances in positive density sets in \(\mathbb R^d\)

DOI10.1016/j.jcta.2008.10.006zbMath1175.28004OpenAlexW2019410188MaRDI QIDQ1024352

Anthony N. Quas

Publication date: 17 June 2009

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2008.10.006

zbMATH Keywords

distance set

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (4)

Open sets avoiding integral distances ⋮ The density of sets containing large similar copies of finite sets ⋮ Odd distances in colourings of the plane ⋮ A note on configurations in sets of positive density which occur at all large scales

Cites Work

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• A Szemerédi type theorem for sets of positive density in \(\mathbb R^k\)
• Recent trends in Euclidean Ramsey theory
• Nilfactors of \(\mathbb R^m\) and configurations in sets of positive upper density in \(\mathbb R^m\)
• Plane Sets with Positive Density at Infinity Contain all Large Distances
• Are There n + 2 Points in E n With Odd Integral Distances?
• Measurable sets with excluded distances

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