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ON SINGULAR STATIONARITY II (TIGHT STATIONARITY AND EXTENDERS-BASED METHODS)

Published online by Cambridge University Press:  14 March 2019

OMER BEN-NERIA
OMER BEN-NERIA*
Affiliation:
INSTITUTE OF MATHEMATICS THE HEBREW UNIVERSITY OF JERUSALEM JERUSALEM 91904, ISRAELE-mail: omer.bn@mail.huji.ac.il
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Abstract

We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results showing that certain sequences of regular cardinals ${\langle {\kappa _n}\rangle _{n < \omega }}$ can have the property that in some generic extension, every ground-model sequence of fixed-cofinality stationary sets ${S_n} \subseteq {\kappa _n}$ is tightly stationary. The results are obtained using variations of the short-extenders forcing method.

Keywords

03E0403E3503E55singular cardinaltight stationarityPrikry forcingextender forcing
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 1 , March 2019 , pp. 320 - 342
Copyright
Copyright © The Association for Symbolic Logic 2019 

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References

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