On the consistency strength of level by level inequivalence
نویسنده
چکیده
We show that the theories “ZFC + There is a supercompact cardinal” and “ZFC + There is a supercompact cardinal + Level by level inequivalence between strong compactness and supercompactness holds” are equiconsistent.
منابع مشابه
Level by Level Inequivalence , Strong Compactness , and GCH ∗ † Arthur
We construct three models containing exactly one supercompact cardinal in which level by level inequivalence between strong compactness and supercompactness holds. In the first two models, below the supercompact cardinal κ, there is a non-supercompact strongly compact cardinal. In the last model, any suitably defined ground model Easton function is realized.
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عنوان ژورنال:
- Arch. Math. Log.
دوره 56 شماره
صفحات -
تاریخ انتشار 2017