Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions
نویسنده
چکیده
We construct a model for the level by level equivalence between strong compactness and supercompactness with an arbitrary large cardinal structure in which the least supercompact cardinal κ has its strong compactness indestructible under κ-directed closed forcing. This is in analogy to and generalizes [3, Theorem 1], but without the restriction that no cardinal is supercompact up to an inaccessible cardinal.
منابع مشابه
Indestructibility under adding Cohen subsets and level by level equivalence
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