Measure-category properties of Borel plane sets and Borel functions of two variables

DOI10.1007/s10474-009-9055-4zbMath1224.28001OpenAlexW2037769602MaRDI QIDQ624231

Marek Balcerzak, Szymon Głąb

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9055-4

zbMATH Keywords

Lebesgue measureBaire categoryLusin's theoremMendez \(\sigma\)-idealnice base of a \(\sigma\)-idealNikodym's theorem

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Continuity and differentiation questions (26B05)

Related Items

Covering properties of ideals ⋮ Universal sets for ideals ⋮ On monotone hull operations ⋮ Ideals with bases of unbounded Borel complexity

Cites Work

• Borel images of sets of reals
• Relationships between continuity and abstract measurability of functions
• Iterated products of ideals of Borel sets
• On ideals of subsets of the plane and on Cohen reals
• On Sigma-Ideals of Sets
• On the Sierpinski-Erdos and the Oxtoby-Ulam Theorems for Some New Sigma- Ideals of Sets
• Fubini's Theorem for Null Sets
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