Large sets avoiding Infinite arithmetic / geometric progressions

DOI10.14321/REALANALEXCH.48.2.1668676378arXiv2210.09284OpenAlexW4387395414MaRDI QIDQ6183680

Connor MacMahon, Samuel I. Goldberg, Tamás Keleti, Xianzhi Wang, Alex Burgin

Publication date: 4 January 2024

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.09284

zbMATH Keywords

arithmetic progressionLebesgue measurepatterngeometric progressionaffine copy

Mathematics Subject Classification ID

Classical measure theory (28A99)

Cites Work

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• Construction of sets of positive measure not containing an affine image of a given infinite structure
• The Erdős similarity problem: a survey
• On a Problem of Erdos on Sequences and Measurable Sets
• Infinite Patterns that can be Avoided by Measure
• Large subsets of Euclidean space avoiding infinite arithmetic progressions

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