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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
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Abstract: We show that every strongly meager set has the $l_0$- and the $m_0$- 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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