A forcing axiom deciding the generalized Souslin Hypothesis
Logic
2019-08-15 v2
Abstract
We derive a forcing axiom from the conjunction of square and diamond, and present a few applications, primary among them being the existence of super-Souslin trees. It follows that for every uncountable cardinal , if is not a Mahlo cardinal in G\"odel's constructible universe, then entails the existence of a -complete -Souslin tree.
Keywords
Cite
@article{arxiv.1708.06932,
title = {A forcing axiom deciding the generalized Souslin Hypothesis},
author = {Chris Lambie-Hanson and Assaf Rinot},
journal= {arXiv preprint arXiv:1708.06932},
year = {2019}
}