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Amoeba-absoluteness and projective measurability

Published online by Cambridge University Press:  12 March 2014

Jörg Brendle
Jörg Brendle*
Affiliation:
Abraham Fraenkel Center for Mathematical Logic, Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel Mathematisches Institut der Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany, E-mail: [email protected]
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Abstract

We show that -Amoeba-absoluteness implies that and, hence, measurability. This answers a question of Haim Judah (private communication).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 4 , December 1993 , pp. 1284 - 1290
Copyright
Copyright © Association for Symbolic Logic 1993

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References

REFERENCES

[Ba]Bartoszyński, T., Combinatorial aspects of measure and category, Fundamenla Mathematicae, vol. 127 (1987), pp. 225–239.CrossRefGoogle Scholar
[BJS]Brendle, J., Judah, H., and Shelah, S., Combinatorial properties of Hechler forcing, Annals of Pure and Applied Logic, vol. 58 (1992), pp. 185–199.CrossRefGoogle Scholar
[CP]Cichoń, J. and Pawlikowski, J., On ideals of subsets of the plane and on Cohen reals, this Journal, vol. 51 (1986), pp. 560–569.Google Scholar
[Je]Jech, T., Set theory, Academic Press, San Diego, 1978.Google Scholar
[Ju]Judah, H., Absoluteness for projective sets, Logic colloquium 1990 (to appear).Google Scholar
[JS1]Judah, H. and Shelah, S., Souslin forcing, this Journal, vol. 53 (1988), pp. 1188–1207.Google Scholar
[JS2]Judah, H., -sets of reals, Annals of Pure and Applied Logic, vol. 42 (1989), pp. 207–223.Google Scholar
[Mi]Miller, A., Some properties of measure and category, Transactions of the American Mathematical Society, vol. 266 (1981), pp. 93–114.CrossRefGoogle Scholar
[Trl]Truss, J., Sets having calibre ℵ1, Logic colloquium 76, North-Holland, Amsterdam, 1977, pp. 595–612.Google Scholar
[Tr2]Truss, J., The noncommutativity of random and generic extensions, this Journal, vol. 48 (1983), pp. 1008–1012.Google Scholar
[Tr3]Truss, J., Connections between different Amoeba algebras, Fundamenta Mathematicae, vol. 130 (1988), pp. 137–155.CrossRefGoogle Scholar