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Making the supercompactness of ν indestructible under ν-directed closed forcing. (English) Zbl 0381.03039

MSC:
03E55Large cardinals
03E40Other aspects of forcing (set theory)
References:
[1]W. B. Easton,Powers of regular cardinals, Ann. Math. Logic1 (1970), 139–178. · Zbl 0209.30601 · doi:10.1016/0003-4843(70)90012-4
[2]A. Kanamori, W. Reinhardt and R. Solovay,Strong axioms of infinity and elementary embeddings, to appear in Ann. Math. Logic.
[3]K. Kunen and J. Paris,Boolean extensions and measurable cardinals, Ann. Math. Logic2 (1971), 359–377. · Zbl 0216.01402 · doi:10.1016/0003-4843(71)90001-5
[4]T. Menas,Consistency results concerning supercompactness, Trans. Amer. Math. Soc.223 (1976), 61–91. · doi:10.1090/S0002-9947-1976-0540771-8
[5]T. Menas,A combinatorial property of P κ λ, J. Symbolic Logic41 (1976), 225–234. · Zbl 0331.02045 · doi:10.2307/2272962