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- W2000919584 abstract "Abstract Can a supercompact cardinal κ be Laver indestructible when there is a level-by-level agreement between strong compactness and supercompactness? In this article, we show that if there is a sufficiently large cardinal above κ , then no, it cannot. Conversely, if one weakens the requirement either by demanding less indestructibility, such as requiring only indestructibility by stratified posets. or less level-by-level agreement, such as requiring it only on measure one sets, then yes. it can." @default.
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- W2000919584 date "2002-06-01" @default.
- W2000919584 modified "2023-10-16" @default.
- W2000919584 title "Indestructibility and the level-by-level agreement between strong compactness and supercompactness" @default.
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- W2000919584 doi "https://doi.org/10.2178/jsl/1190150111" @default.
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