Inner models in the region of a Woodin limit of Woodin cardinals

Annals of Pure and Applied Logic 116 (1-3):67-155 (2002)
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Abstract

We extend the construction of Mitchell and Steel to produce iterable fine structure models which may contain Woodin limits of Woodin cardinals, and more. The precise level reached is that of a cardinal which is both a Woodin cardinal and a limit of cardinals strong past it

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10.1016/s0168-0072(01)00103-8

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Citations of this work

Suitable extender models I.W. Hugh Woodin - 2010 - Journal of Mathematical Logic 10 (1):101-339.
Characterization of □κin core models.Ernest Schimmerling & Martin Zeman - 2004 - Journal of Mathematical Logic 4 (01):1-72.
Descriptive inner model theory.Grigor Sargsyan - 2013 - Bulletin of Symbolic Logic 19 (1):1-55.
Iterates of the Core Model.Ralf Schindler - 2006 - Journal of Symbolic Logic 71 (1):241 - 251.

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References found in this work

Inner models with many Woodin cardinals.J. R. Steel - 1993 - Annals of Pure and Applied Logic 65 (2):185-209.
Square in core models.Ernest Schimmerling & Martin Zeman - 2001 - Bulletin of Symbolic Logic 7 (3):305-314.
Iteration Trees.D. A. Martin & J. R. Steel - 2002 - Bulletin of Symbolic Logic 8 (4):545-546.
A weak Dodd-Jensen lemma.Itay Neeman & John Steel - 1999 - Journal of Symbolic Logic 64 (3):1285-1294.
Fine structure for Tame inner models.E. Schimmerling & J. R. Steel - 1996 - Journal of Symbolic Logic 61 (2):621-639.

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