Martin's Axiom and Weak Kurepa Hypothesis
Logic
2024-11-12 v2
Abstract
I show that it is consistent relative to the consistency of a Mahlo cardinal that Martin's axiom holds at , but the weak Kurepa Hypothesis fails. This answers a question posed by Honzik, Lambie-Hanson and Stejskalov\'a. The consistency result is obtained by constructing a model where the weak Kurepa Hypothesis fails in any c.c.c. forcing extension.
Cite
@article{arxiv.2411.04835,
title = {Martin's Axiom and Weak Kurepa Hypothesis},
author = {Rahman Mohammadpour},
journal= {arXiv preprint arXiv:2411.04835},
year = {2024}
}
Comments
It is withdrawn due to a gap in the proof of the main theorem which was pointed out by John Krueger, to whom the author is grateful