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M. Gitik, W. Mitchell (1995)
Indiscernible Sequences for Extenders, and the Singular Cardinal HypothesisAnn. Pure Appl. Log., 82
Since the playing indiscernibles for N * [H] is also the least winning strategy for Player II, we obtain the following
Extender Based Forcing Notions
S. Thomas (1997)
CARDINAL ARITHMETIC (Oxford Logic Guides 29)Bulletin of The London Mathematical Society, 29
On measurable cardinals violating GCH, to appear in Ann. of Pure and Appl. Logic
Git2] implies then to deduce the following corollary
W. Mitchell (1984)
The core model for sequences of measures. IMathematical Proceedings of the Cambridge Philosophical Society, 95
(1991)
The strength of the failure of SCH, Ann. of Pure and Appl
k) is the indiscernible for β k for all but finitely many k's. Using the same arguments for M * [H], r, and the fact that H p and H r disagree about the source of some Prikry sequence in
Corollary 7.12. The game G χ is undetermined in V
Theorem 7.11. In V [H] there are elementary submodels which disagree about common ω-sequence of indiscernibles
On measurable cardinals violating GCH, to appear in Ann
M. Gitik, M. Magidor (1992)
The Singular Cardinal Hypothesis Revisited
(1991)
The strength of the failure of SCH
Lemma 7.10. σ is almost equal to the indiscernible strategy, which means that for every ordinal move {β n } | n < ω of Player 1 for all but finitely many n's
This ordinal gives the index of the measure corresponding to ν 0 (n)
We prove the following theorem: Suppose that there is a singular $\kappa$ with the set of $\alpha$ 's with $o(\alpha)=\alpha^{+n}$ unbounded in it for every $n < \omega$ . Then in a generic extesion there are two precovering sets which disagree about common indiscernibles unboundedly often.
Archive for Mathematical Logic – Springer Journals
Published: Nov 1, 1996
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