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Amoeba reals

Published online by Cambridge University Press:  12 March 2014

Haim Judah  and
Miroslav Repickẏ
Haim Judah
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, 52 900 Ramat-Gan, Israel, E-mail: judah@bimacs.cs.biu.ac.il
Miroslav Repickẏ
Affiliation:
Matematickẏ Ústav Sav, Jesenná 5, 041 54 Košice, Slovakia, E-mail: repicky@kosice.upjs.sk
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Abstract

We define the ideal with the property that a real omits all Borel sets in the ideal which are coded in a transitive model if and only if it is an amoeba real over this model. We investigate some other properties of this ideal. Strolling through the "amoeba forest" we gain as an application a modification of the proof of the inequality between the additivities of Lebesgue measure and Baire category.

Keywords

Primary 03E40Amoeba realσ-idealcardinal invariants
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 4 , December 1995 , pp. 1168 - 1185
Copyright
Copyright © Association for Symbolic Logic 1995

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References

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