A cardinal preserving extension making the set of points of countable V cofinality nonstationary

Archive for Mathematical Logic 46 (5-6):451-456 (2007)
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Abstract

Assuming large cardinals we produce a forcing extension of V which preserves cardinals, does not add reals, and makes the set of points of countable V cofinality in κ+ nonstationary. Continuing to force further, we obtain an extension in which the set of points of countable V cofinality in ν is nonstationary for every regular ν ≥ κ+. Finally we show that our large cardinal assumption is optimal

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References found in this work

Set Theory.T. Jech - 2005 - Bulletin of Symbolic Logic 11 (2):243-245.
The Proper Forcing Axiom and the Singular Cardinal Hypothesis.Matteo Viale - 2006 - Journal of Symbolic Logic 71 (2):473 - 479.
On closed unbounded sets consisting of former regulars.Moti Gitik - 1999 - Journal of Symbolic Logic 64 (1):1-12.
Proper and Improper Forcing.Péter Komjáath - 2000 - Bulletin of Symbolic Logic 6 (1):83-86.
On Closed Unbounded Sets Consisting of Former Regulars.Moti Gitik - 1999 - Journal of Symbolic Logic 64 (1):1-12.

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