Perfectly meager sets and universally null sets
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- by Tomek Bartoszynski and Saharon Shelah
- Proc. Amer. Math. Soc. 130 (2002), 3701-3711
- DOI: https://doi.org/10.1090/S0002-9939-02-06465-1
- Published electronically: April 22, 2002
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Abstract:
We will show that there is no $\operatorname {\mathsf {ZFC}}$ example of a set distinguishing between universally null and perfectly meager sets.References
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Bibliographic Information
- Tomek Bartoszynski
- Affiliation: Department of Mathematics and Computer Science, Boise State University, Boise, Idaho 83725
- Email: tomek@math.boisestate.edu
- Saharon Shelah
- Affiliation: Department of Mathematics, Hebrew University, Jerusalem, Israel – and – Department of Mathematics, Rutgers University, New Brunswick, New Jersey
- MR Author ID: 160185
- ORCID: 0000-0003-0462-3152
- Email: shelah@math.huji.ac.il
- Received by editor(s): April 26, 2001
- Received by editor(s) in revised form: July 16, 2001
- Published electronically: April 22, 2002
- Additional Notes: The first author was partially supported by NSF grant DMS 9971282 and the Alexander von Humboldt Foundation
The second author was partially supported by the Israel Science Foundation. Publication 732 - Communicated by: Alan Dow
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3701-3711
- MSC (2000): Primary 03E17
- DOI: https://doi.org/10.1090/S0002-9939-02-06465-1
- MathSciNet review: 1920051