Diamond (on the regulars) can fail at any strongly unfoldable cardinal

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Annals of Pure and Applied Logic 144 (1-3):83-95 (2006)
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Abstract

If κ is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which κ fails. This result continues the progression of the corresponding results for weakly compact cardinals, due to Woodin, and for indescribable cardinals, due to Hauser

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10.1016/j.apal.2006.05.001

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Author Profiles

Joel David Hamkins
Oxford University
Džamonja Mirna
University of East Anglia

Citations of this work

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Diagonal reflections on squares.Gunter Fuchs - 2019 - Archive for Mathematical Logic 58 (1-2):1-26.
Indestructible Strong Unfoldability.Joel David Hamkins & Thomas A. Johnstone - 2010 - Notre Dame Journal of Formal Logic 51 (3):291-321.
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References found in this work

The lottery preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
Indescribable cardinals and elementary embeddings.Kai Hauser - 1991 - Journal of Symbolic Logic 56 (2):439-457.
Chains of end elementary extensions of models of set theory.Andrés Villaveces - 1998 - Journal of Symbolic Logic 63 (3):1116-1136.
Unfoldable cardinals and the GCH.Joel David Hamkins - 2001 - Journal of Symbolic Logic 66 (3):1186-1198.
Indescribable cardinals without diamonds.Kai Hauser - 1992 - Archive for Mathematical Logic 31 (5):373-383.

View all 6 references / Add more references