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-stability

Published online by Cambridge University Press:  12 March 2014

Dror Ben-Arié  and
Haim Judah
Dror Ben-Arié
Affiliation:
Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel, E-mail: benarie@bimacs.cs.biu.ac.il
Haim Judah
Affiliation:
Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel, E-mail: judah@bimacs.cs.biu.ac.il
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Abstract

We investigate the connection between -stability for random and Cohen forcing notions and the measurability and categoricity of the -sets. We show that Shelah's model for -measurability and categoricity satisfies -random-stability while it does not satisfy -Cohen-stability. This gives an example of measure-category asymmetry. We also present a result concerning finite support iterations of Suslin forcing.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 3 , September 1993 , pp. 941 - 954
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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