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Mathias absoluteness and the Ramsey property

Published online by Cambridge University Press:  12 March 2014

Lorenz Halbeisen  and
Haim Judah
Lorenz Halbeisen
Affiliation:
Departement Mathematik, ETH Zentrum, 8092 Zürich, Switzerland, E-mail: halbeis@math.ethz.ch
Haim Judah
Affiliation:
Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel, E-mail: judah@bimacs.cs.biu.ac.il
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Abstract

In this article we give a forcing characterization for the Ramsey property of -Sets of reals. This research was motivated by the well-known forcing characterizations for Lebesgue measurability and the Baire property of -sets of reals. Further we will show the relationship between higher degrees of forcing absoluteness and the Ramsey property of projective sets of reals.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 61 , Issue 1 , March 1996 , pp. 177 - 194
Copyright
Copyright © Association for Symbolic Logic 1996

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