A COUNTEREXAMPLE TO A CONJECTURE OF LARMAN AND ROGERS ON SETS AVOIDING DISTANCE 1

DOI10.1112/S0025579319000160zbMath1433.52019arXiv1808.07299OpenAlexW3105874183WikidataQ123127004 ScholiaQ123127004MaRDI QIDQ5377119

Fernando Mário de Oliveira Filho, Frank Vallentin

Publication date: 23 May 2019

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07299

zbMATH Keywords

Lebesgue measureLarman-Rogers conjectureMoser conjecture

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Distance geometry (51K99) Length, area, volume, other geometric measure theory (28A75) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (1)

Complete positivity and distance-avoiding sets

Cites Work

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• Unsolved problems in geometry
• Complete positivity and distance-avoiding sets
• Some old and new problems in combinatorial geometry I: around Borsuk's problem
• Foundations of Data Science
• The realization of distances within sets in Euclidean space

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