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On the first $ n$ strongly compact cardinals

Author: Arthur W. Apter
Journal: Proc. Amer. Math. Soc. 123 (1995), 2229-2235
MSC: Primary 03E55; Secondary 03E35
MathSciNet review: 1249867
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Abstract: Using techniques of Kimchi and Magidor, we generalize an earlier result and show that it is relatively consistent for the first n strongly compact cardinals to be somewhat supercompact yet not fully supercompact.

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