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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Perfectly meager sets and universally null sets

Author(s): Tomek Bartoszynski; Saharon Shelah
Journal: Proc. Amer. Math. Soc. 130 (2002), 3701-3711.
MSC (2000): Primary 03E17
Posted: April 22, 2002
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Abstract | References | Similar articles | Additional information

Abstract: We will show that there is no $\operatorname{\mathsf {ZFC}}$ example of a set distinguishing between universally null and perfectly meager sets.


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Additional 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
Email: shelah@math.huji.ac.il

DOI: 10.1090/S0002-9939-02-06465-1
PII: S 0002-9939(02)06465-1
Keywords: Perfectly meager, universally null, consistency
Received by editor(s): April 26, 2001
Received by editor(s) in revised form: July 16, 2001
Posted: 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 of article: Copyright 2002, American Mathematical Society


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