Partitions of the Plane Into Sets Having Positive Measure in Every Non-Null Measurable Product Set

DOI10.2307/1992838zbMath0066.29801OpenAlexW4231506919MaRDI QIDQ3226864

John C. Oxtoby

Publication date: 1955

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1992838

zbMATH Keywords

measure theory

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)

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Category product densities and liftings ⋮ Regularization and general methods in the theory of functional equations ⋮ Various products for Lebesgue densities ⋮ Ideals with Smital properties ⋮ A note on \(\ell^2\)-linear independence of Gabor systems ⋮ Multiplicative type functional equations arising from characterization problems ⋮ The mathematical work of John C. Oxtoby ⋮ On the Ratio of two sets in real line ⋮ Some properties of essential spectra of a positive operator ⋮ On some questions of Ger, Grubb and Kraljević ⋮ Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range ⋮ Interior of sums of planar sets and curves ⋮ Various products of category densities and liftings ⋮ On Kernel Representation of Linear Operators ⋮ Products of Completion Regular Measures ⋮ Some properties of Baire sets and sets of positive measure

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