Universal Indestructibility is Consistent with Two Strongly Compact Cardinals

Volume 53 / 2005

Arthur W. Apter 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.

Authors

  • Arthur W. ApterDepartment of Mathematics
    Baruch College of CUNY
    New York, NY 10010, U.S.A.
    e-mail

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