Ideals without ccc and without property $\boldsymbol ( \mathbf {M} \boldsymbol )$
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- by Howard Becker
- Proc. Amer. Math. Soc. 128 (2000), 3031-3034
- DOI: https://doi.org/10.1090/S0002-9939-00-05373-9
- Published electronically: April 28, 2000
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Abstract:
We prove a strong version of a theorem of Balcerzak-Roslanowski-Shelah by showing, in ZFC, that there exists a simply definable Borel $\sigma$-ideal for which both the ccc and property (M) fail. The proof involves Polish group actions.References
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Bibliographic Information
- Howard Becker
- Affiliation: Department of Mathematics, The University of South Carolina, Columbia, South Carolina 29208
- MR Author ID: 33335
- Email: becker@math.sc.edu
- Received by editor(s): October 23, 1998
- Received by editor(s) in revised form: December 3, 1998
- Published electronically: April 28, 2000
- Additional Notes: The author’s research was partially supported by NSF Grant DMS-9505505.
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3031-3034
- MSC (2000): Primary 03E15
- DOI: https://doi.org/10.1090/S0002-9939-00-05373-9
- MathSciNet review: 1670422