Borel liftings of the measure algebra and the failure of the continuum hypothesis
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- by T. Carlson, R. Frankiewicz and P. Zbierski PDF
- Proc. Amer. Math. Soc. 120 (1994), 1247-1250 Request permission
Abstract:
It is proved that the failure of the continuum hypothesis is consistent with the existence of a Borel lifting for the Lebesgue measure algebra and an embedding of the Lebesgue measure algebra into $\wp (\omega )/{\text {finite}}$.References
- Ryszard Frankiewicz, Some remarks on embeddings of Boolean algebras and topological spaces. II, Fund. Math. 126 (1985), no. 1, 63–68. MR 817080, DOI 10.4064/fm-126-1-63-68
- Dorothy Maharam, On a theorem of von Neumann, Proc. Amer. Math. Soc. 9 (1958), 987–994. MR 105479, DOI 10.1090/S0002-9939-1958-0105479-6 J. von Neumann and M. H. Stone, The determination of representative elements in the residual classes of a Boolean algebra, Fund. Math. 25 (1935), 353-378.
- Saharon Shelah, Lifting problem of the measure algebra, Israel J. Math. 45 (1983), no. 1, 90–96. MR 710248, DOI 10.1007/BF02760673
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1247-1250
- MSC: Primary 03E35; Secondary 03E15
- DOI: https://doi.org/10.1090/S0002-9939-1994-1176066-8
- MathSciNet review: 1176066