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- W2952212110 abstract "Superstrong cardinals are never Laver indestructible. Similarly, almost huge cardinals, huge cardinals, superhuge cardinals, rank-into-rank cardinals, extendible cardinals, 1-extendible cardinals, 0-extendible cardinals, weakly superstrong cardinals, uplifting cardinals, pseudo-uplifting cardinals, superstrongly unfoldable cardinals, Sigma_n-reflecting cardinals, Sigma_n-correct cardinals and Sigma_n-extendible cardinals (all for n>2) are never Laver indestructible. In fact, all these large cardinal properties are superdestructible: if kappa exhibits any of them, with corresponding target theta, then in any forcing extension arising from nontrivial strategically <kappa-closed forcing Q in V_theta, the cardinal kappa will exhibit none of the large cardinal properties with target theta or larger." @default.
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- W2952212110 date "2013-07-12" @default.
- W2952212110 modified "2023-09-26" @default.
- W2952212110 title "Superstrong and other large cardinals are never Laver indestructible" @default.
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