Making the supercompactness of κ indestructible under κ-directed closed forcing
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A model is found in which there is a supercompact cardinal κ which remains supercompact in any κ-directed closed forcing extension.
KeywordsPartial Order Choice Function Inverse Limit Force Extension Regular Cardinal
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- 2.A. Kanamori, W. Reinhardt and R. Solovay,Strong axioms of infinity and elementary embeddings, to appear in Ann. Math. Logic.Google Scholar
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