On sets intersecting every square of the plane

DOI10.4064/cm9159-8-2023OpenAlexW4387788448MaRDI QIDQ6187575

Cristina Villanueva-Segovia, Michael Hrušák

Publication date: 31 January 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm9159-8-2023

zbMATH Keywords

Bernstein setsinscribed square problemmeasure and dimension

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)

Cites Work

• Full dimensional sets without given patterns
• Set theoretic, measure theoretic, combinatorial, and number theoretic problems concerning point sets in Euclidean space
• Some results on similarities in \({\mathbb{R}}^ n\)
• The rectangular peg problem
• AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
• Rectangles, curves, and Klein bottles

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