Diamonds, Compactness, and Measure Sequences
Logic
2017-06-06 v2
Abstract
We establish the consistency of the failure of the diamond principle on a cardinal 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 in a Radin generic extension.
Keywords
Cite
@article{arxiv.1705.01611,
title = {Diamonds, Compactness, and Measure Sequences},
author = {Omer Ben-Neria},
journal= {arXiv preprint arXiv:1705.01611},
year = {2017}
}