Indestructibility and the level-by-level agreement between strong compactness and supercompactness

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dc.creatorApter, Arthur W.
dc.creatorHamkins, Joel David
dc.date2001-02-10
dc.date.accessioned2026-07-07T04:40:07Z
dc.date.available2026-07-07T04:40:07Z
dc.descriptionCan a supercompact cardinal kappa 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 kappa, 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.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0102086
dc.identifierhttp://arxiv.org/abs/math/0102086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60928
dc.subjectLogic
dc.subject03E55 03E35
dc.titleIndestructibility and the level-by-level agreement between strong compactness and supercompactness
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