Generalizations of Martin's Axiom, weak square, weak Chang's Conjecture, and a forcing axiom failure
Logic
2022-12-15 v1
Abstract
We prove that the forcing axiom implies . Using this implication, we show that the forcing axiom is inconsistent. We also derive weak Chang's Conjecture from and use this second implication to give another proof of the inconsistency of .
Cite
@article{arxiv.2212.07324,
title = {Generalizations of Martin's Axiom, weak square, weak Chang's Conjecture, and a forcing axiom failure},
author = {David Aspero and Nutt Tananimit},
journal= {arXiv preprint arXiv:2212.07324},
year = {2022}
}
Comments
30 pages