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


MSC:

03E55 Large cardinals
03E40 Other aspects of forcing and Boolean-valued models
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References:

[1] Easton, W. B., Powers of regular cardinals, Ann. Math. Logic, 1, 139-178 (1970) · 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. · Zbl 0376.02055
[3] Kunen, K.; Paris, J., Boolean extensions and measurable cardinals, Ann. Math. Logic, 2, 359-377 (1971) · Zbl 0216.01402 · doi:10.1016/0003-4843(71)90001-5
[4] Menas, T., Consistency results concerning supercompactness, Trans. Amer. Math. Soc., 223, 61-91 (1976) · Zbl 0348.02046 · doi:10.2307/1997517
[5] Menas, T., A combinatorial property of P_κλ, J. Symbolic Logic, 41, 225-234 (1976) · Zbl 0331.02045 · doi:10.2307/2272962
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