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