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arXiv:2401.13364 [math.LO]AbstractReferencesReviewsResources

Echeloned saturation and forcing axioms

Shimon Garti

Published 2024-01-24Version 1

Addressing a question of Paul Larson we prove the following statement. If Chang's conjecture fails, Martin's axiom holds and the continuum is greater than $\aleph_2$, there are no weakly Laver ideals over $\aleph_1$. We also prove that under Baumgartner's axiom there are no Laver ideals over $\aleph_2$.

Comments: To appear
Categories: math.LO
Subjects: 03E35, 03E17, 03E50
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