Diamonds, Compactness, and Measure Sequences
classification
🧮 math.LO
keywords
compactnesskapparadinanalysiscardinalcharacterizationconsistencydiamond
read the original abstract
We establish the consistency of the failure of the diamond principle on a cardinal $\kappa$ which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of $\kappa$ in a Radin generic extension.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.