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Remarks on small sets of reals
Author(s):
Tomek
Bartoszynski
Journal:
Proc. Amer. Math. Soc.
131
(2003),
625-630.
MSC (2000):
Primary 03E17
Posted:
April 10, 2002
MathSciNet review:
1933355
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Abstract:
We show that the Dual Borel Conjecture implies that  and find some topological characterizations of perfectly meager and universally meager sets.
References:
-
- 1.
- Tomek Bartoszynski. On perfectly meager sets. available from front.math.ucdavis.edu.
- 2.
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 -sets and other singular sets of real numbers. Topology and its Applications, 17(2):145-155, 1984. MR 85f:54011 - 6.
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- 7.
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- 8.
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- 9.
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- Piotr Zakrzewski. Universally meager sets. Proceedings of the American Mathematical Society, 129(6):1793-1798, 2001. MR 2001m:03097
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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:
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
Posted:
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
Copyright of article:
Copyright
2002,
American Mathematical Society
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