On a problem of Banach
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- by Andrzej Pelc and Karel Prikry PDF
- Proc. Amer. Math. Soc. 89 (1983), 608-610 Request permission
Abstract:
Assuming the continuum hypothesis, we obtain a translation invariant version of the following result of E. Grzegorek: There are two countably generated $\sigma$-algebras on the interval [0, 1] such that both carry a nonatomic countably additive probability measure, but the $\sigma$-algebra generated by their union does not carry any such measure.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 608-610
- MSC: Primary 28C10; Secondary 04A20, 04A30
- DOI: https://doi.org/10.1090/S0002-9939-1983-0718982-7
- MathSciNet review: 718982