On universal null sets
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- by E. Grzegorek and C. Ryll-Nardzewski PDF
- Proc. Amer. Math. Soc. 81 (1981), 613-617 Request permission
Abstract:
If all subsets of cardinality less than ${2^{{\aleph _0}}}$ of the real line $R$ are Lebesgue measurable then there exists a permutation $p$ of $R$ with $p = {p^{ - 1}}$ such that on the $\sigma$-field generated by $\mathcal {B} \cup p(\mathcal {B})$ there is no continuous probability measure.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 613-617
- MSC: Primary 04A15; Secondary 28A05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0601741-1
- MathSciNet review: 601741