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arXiv:2411.04835 [math.LO]AbstractReferencesReviewsResources

Martin's Axiom and Weak Kurepa Hypothesis

Rahman Mohammadpour

Published 2024-11-07Version 1

I show that it is consistent relative to the consistency of a Mahlo cardinal that Martin's axiom holds at $\omega_2$, 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.

Comments: 15 pages
Categories: math.LO
Subjects: 03E35, 03E50, 03E57
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