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Indestructible Strong Unfoldability
2010
Notre Dame Journal of Formal Logic
Using the lottery preparation, we prove that any strongly unfoldable cardinal κ can be made indestructible by all <κ-closed κ + -preserving forcing. This degree of indestructibility, we prove, is the best possible from this hypothesis within the class of <κ-closed forcing. From a stronger hypothesis, however, we prove that the strong unfoldability of κ can be made indestructible by all <κ-closed forcing. Such indestructibility, we prove, does not follow from indestructibility merely by
doi:10.1215/00294527-2010-018
fatcat:bmwtr5jjungpde2xhdkrwlomaa