Indestructibility, strongness, and level by level equivalence
Volume 177 / 2003
Fundamenta Mathematicae 177 (2003), 45-54
MSC: 03E35, 03E55.
DOI: 10.4064/fm177-1-3
Abstract
We construct a model in which there is a strong cardinal $\kappa $ whose strongness is indestructible under $\kappa $-strategically closed forcing and in which level by level equivalence between strong compactness and supercompactness holds non-trivially.
