Guessing models imply the singular cardinal hypothesis
Logic
2019-07-23 v2
Abstract
In this article we prove three main theorems: (1) guessing models are internally unbounded, (2) for any regular cardinal , implies that holds above , and (3) forcing posets which have the -approximation property also have the countable covering property. These results solve open problems of Viale and Hachtman-Sinapova.
Cite
@article{arxiv.1903.10476,
title = {Guessing models imply the singular cardinal hypothesis},
author = {John Krueger},
journal= {arXiv preprint arXiv:1903.10476},
year = {2019}
}