Universal Indestructibility is Consistent with Two Strongly Compact Cardinals
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 131-135
MSC: 03E35, 03E55.
DOI: 10.4064/ba53-2-2
Abstract
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 $\kappa$ is supercompact and universal indestructibility for either strong compactness or supercompactness holds, then no cardinal $\lambda > \kappa$ is measurable.
