Universal Indestructibility is Consistent with Two Strongly Compact Cardinals
Arthur W. Apter (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that universal indestructibility for both strong compactness and supercompactness is consistent with the existence of two strongly compact cardinals. This is in contrast to the fact that if κ is supercompact and universal indestructibility for either strong compactness or supercompactness holds, then no cardinal λ > κ is measurable.