Counterexamples to the Unique and Cofinal Branches Hypotheses

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Journal of Symbolic Logic 71 (3):977 - 988 (2006)
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Abstract

We produce counterexamples to the unique and cofinal branches hypotheses, assuming (slightly less than) the existence of a cardinal which is strong past a Woodin cardinal

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10.2178/jsl/1154698586

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Jack Steel
University of Edinburgh

Citations of this work

Suitable extender models I.W. Hugh Woodin - 2010 - Journal of Mathematical Logic 10 (1):101-339.

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References found in this work

Inner models in the region of a Woodin limit of Woodin cardinals.Itay Neeman - 2002 - Annals of Pure and Applied Logic 116 (1-3):67-155.
Iteration Trees.D. A. Martin & J. R. Steel - 2002 - Bulletin of Symbolic Logic 8 (4):545-546.
Core models with more Woodin cardinals.J. R. Steel - 2002 - Journal of Symbolic Logic 67 (3):1197-1226.
Large cardinals and iteration trees of height ω.Alessandro Andretta - 1991 - Annals of Pure and Applied Logic 54 (1):1-15.

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