Indestructible Guessing Models and the Continuum
Logic
2019-07-09 v3
Abstract
We introduce a stronger version of an -guessing model, which we call an indestructibly -guessing model. The principle IGMP states that there are stationarily many indestructibly -guessing models. This principle, which follows from PFA, captures many of the consequences of PFA, including the Suslin hypothesis and the singular cardinal hypothesis. We prove that IGMP is consistent with the continuum being arbitrarily large.
Cite
@article{arxiv.1510.05297,
title = {Indestructible Guessing Models and the Continuum},
author = {Sean Cox and John Krueger},
journal= {arXiv preprint arXiv:1510.05297},
year = {2019}
}