Making the supercompactness of κ indestructible under κ-directed closed forcing

作者: Richard Laver

DOI: 10.1007/BF02761175

关键词: Strongly compact cardinalLarge cardinalSupercompact cardinalCombinatoricsMathematicsMeasurable cardinalProper forcing axiomRegular cardinalForcing (recursion theory)Strong cardinal

摘要: A model is found in which there a supercompact cardinal κ remains any κ-directed closed forcing extension.

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