Negating the Galvin Property
Logic
2024-02-20 v1
Abstract
We prove that Galvin's property consistently fails at successors of strong limit singular cardinals. We also prove the consistency of this property failing at every successor of a singular cardinal. In addition, the paper analyzes the effect of Prikry-type forcings on the strong failure of the Galvin property and explores stronger forms of this property in the context of large cardinals
Cite
@article{arxiv.2112.13373,
title = {Negating the Galvin Property},
author = {Tom Benhamou and Shimon Garti and Alejandro Poveda},
journal= {arXiv preprint arXiv:2112.13373},
year = {2024}
}