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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Remarks on small sets of reals


Author: Tomek Bartoszynski
Journal: Proc. Amer. Math. Soc. 131 (2003), 625-630
MSC (2000): Primary 03E17
Published electronically: April 10, 2002
MathSciNet review: 1933355
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Abstract: We show that the Dual Borel Conjecture implies that ${\mathfrak d}> \boldsymbol\aleph_1 $ and find some topological characterizations of perfectly meager and universally 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

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06567-X
PII: S 0002-9939(02)06567-X
Keywords: Perfectly meager, universally meager, cardinal invariants
Received by editor(s): July 24, 2001
Received by editor(s) in revised form: September 19, 2001
Published electronically: April 10, 2002
Additional Notes: The author was partially supported by NSF grant DMS 9971282 and the Alexander von Humboldt Foundation
Communicated by: Alan Dow
Article copyright: © Copyright 2002 American Mathematical Society