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arXiv · 2411.04835

Martin's Axiom and Weak Kurepa Hypothesis

Rahman Mohammadpour
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Abstract

I show that it is consistent relative to the consistency of a Mahlo cardinal that Martin's axiom holds at $ω_2$, but the weak Kurepa Hypothesis fails. This answers a question posed by Honzik, Lambie-Hanson and Stejskalová. The consistency result is obtained by constructing a model where the weak Kurepa Hypothesis fails in any c.c.c. forcing extension.

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Rahman Mohammadpour. 2024-11-10. Martin's Axiom and Weak Kurepa Hypothesis. https://arxiv.org/abs/2411.04835

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