Remarks on nonmeasurable unions of big point families

DOI10.1002/malq.200810014zbMath1192.03025arXiv1001.0549OpenAlexW3124107549MaRDI QIDQ3650325

Robert Rałowski

Publication date: 14 December 2009

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0549

zbMATH Keywords

Cantor setpacking dimensionLebesgue measureBaire propertyalgebraic sum

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Consistency and independence results (03E35)

Related Items (3)

Two point sets with additional properties ⋮ Bernstein sets andκ-coverings ⋮ Some properties of \(\mathcal{I}\)-Luzin sets

Cites Work

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• Completely nonmeasurable unions
• Measure zero sets whose algebraic sum is non-measurable
• Covering locally compact groups by less than 2^ωmany translates of a compact nullset
• Covering $\mathbb R$ with translates of a compact set
• Less than 2^ωmany translates of a compact nullset may cover the real line

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