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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. http://geodesic.mathdoc.fr/articles/10.4064/ba53-2-2/

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