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On the cofinality of the smallest covering of the real line by meager sets

Published online by Cambridge University Press:  12 March 2014

Tomek Bartoszynski  and
Jaime I. Ihoda
Tomek Bartoszynski
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Jaime I. Ihoda
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
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Abstract

We prove that the cofinality of the smallest covering of R by meager sets is bigger than the additivity of measure.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 54 , Issue 3 , September 1989 , pp. 828 - 832
Copyright
Copyright © Association for Symbolic Logic 1989

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References

REFERENCES

[Ba1]Bartoszynski, T., Additivity of measure implies additivity of category, Transactions of the American Mathematical Society, vol. 281 (1984), pp. 209–213.CrossRefGoogle Scholar
[Ba2]Bartoszynski, T., Combinatorial aspects of measure and category, Fundamenta Mathematicae, vol. 127 (1987), pp. 225–239.CrossRefGoogle Scholar
[Ba3]Bartoszynski, T., On covering of real line by null sets, Pacific Journal of Mathematics, vol. 131 (1988), pp. 1–12.CrossRefGoogle Scholar
[BIS]Bartoszynski, T., Ihoda, J., and Shelah, S., The cqfinality of cardinal invariants related to measure and category, this Journal, vol. 54 (1989), pp. 719–726.Google Scholar
[F]Fremlin, D., Cichoń's diagram, Séminaire d'initiation à l'analyse (G. Choquet–M. Rogalski–J. Saint-Raymond), 23ème année: 1983/1984, Université Pierre et Marie Curie (Paris-VI), Paris, 1984, Exposé 5.Google Scholar
[FM]Fremlin, D. and Miller, A., On the properties of Huremcz, Menger and Rothberger (to appear).Google Scholar
[IS]Ihoda, J. and Shelah, S., The Lebesgue measure and the Baire property: Laver reals, preservation theorems for forcing, completion of the Kunen-Miller chart (to appear).Google Scholar
[Mi1]Miller, A., Some properties of measure and category, Transactions of the American Mathematical Society, vol. 266 (1981), pp. 93–114.CrossRefGoogle Scholar
[Mi2]Miller, A., The Baire category theorem and cardinals of countable cofinality, this Journal, vol. 47 (1982), pp. 275–288.Google Scholar