Prikry-type forcing and the set of possible cofinalities
Logic
2022-01-10 v1
Abstract
It is known that the set of possible cofinalities has good properties if is a progressive interval of regular cardinals. In this paper, we give an interval of regular cardinals such that has no good properties in the presense of a measurable cardinal, or in generic extensions by Prikry-type forcing.
Keywords
Cite
@article{arxiv.2201.02322,
title = {Prikry-type forcing and the set of possible cofinalities},
author = {Kenta Tsukuura},
journal= {arXiv preprint arXiv:2201.02322},
year = {2022}
}