Singular Failures of GCH and Level by Level Equivalence
Volume 62 / 2014
Bulletin Polish Acad. Sci. Math. 62 (2014), 11-21
MSC: 03E35, 03E55.
DOI: 10.4064/ba62-1-2
Abstract
We construct a model for the level by level equivalence between strong compactness and supercompactness in which below the least supercompact cardinal $\kappa $, there is an unbounded set of singular cardinals which witness the only failures of GCH in the universe. In this model, the structure of the class of supercompact cardinals can be arbitrary.
