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Strongly meager sets of real numbers and tree forcing notions
Author(s):
Andrzej
Nowik;
Tomasz
Weiss
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1183-1187.
MSC (2000):
Primary 03E15, 03E20, 28E15
Posted:
October 1, 2001
MathSciNet review:
1873795
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Abstract:
We show that every strongly meager set has the  - and the  - property.
References:
-
- [B]
- J. Brendle, Strolling through paradise, Fundamenta Mathematicae 148 (1995), 1 - 25. MR 96h:03085
- [L]
- G.G. Lorentz, On a problem of additive number theory, Proceedings of the American Mathematical Society 5 (1954), 838 - 841. MR 16:113f
- [NW]
- A. Nowik, T. Weiss, Remarks on strongly meager sets of real numbers and their uniformly continuous images, Proceedings of the AMS. 129 (2001), 265 - 270. MR 2001c:03081
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Additional Information:
Andrzej
Nowik
Affiliation:
University of Gdansk, Institute of Mathematics, ul. Wita Stwosza 57, 80--952 Gdansk, Poland
Address at time of publication:
Institute of Mathematics, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland
Email:
matan@paula.univ.gda.pl
Tomasz
Weiss
Affiliation:
Institute of Mathematics, WSRP, 08-110 Siedlce, Poland
Email:
weiss@wsrp.siedlce.pl
DOI:
10.1090/S0002-9939-01-06174-3
PII:
S 0002-9939(01)06174-3
Keywords:
Strongly meager sets,
Laver forcing,
Miller forcing
Received by editor(s):
July 7, 2000
Received by editor(s) in revised form:
October 2, 2000
Posted:
October 1, 2001
Additional Notes:
The first author was partially supported by KBN grant 2 P03A 047 09
Communicated by:
Carl G. Jockusch, Jr.
Copyright of article:
Copyright
2001,
American Mathematical Society
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