Geodesic
Universal Indestructibility is Consistent with Two Strongly Compact Cardinals
Arthur W. Apter1
1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 2, pp. 131-135 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\kappa$ is supercompact and universal indestructibility for either strong compactness or supercompactness holds, then no cardinal $\lambda > \kappa$ is measurable.
DOI : 10.4064/ba53-2-2
Keywords: universal indestructibility strong compactness supercompactness consistent existence strongly compact cardinals contrast kappa supercompact universal indestructibility either strong compactness supercompactness holds cardinal lambda kappa measurable

Arthur W. Apter 1

1 Department of Mathematics Baruch College of CUNY New York, NY 10010, U.S.A. 
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Arthur W. Apter. Universal Indestructibility is Consistent with
Two Strongly Compact Cardinals. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 2, pp. 131-135. doi: 10.4064/ba53-2-2

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