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arXiv · 2401.13364

Echeloned saturation and forcing axioms

Shimon Garti
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Abstract

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 $\aleph_2$.

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BibTeXRIS

Shimon Garti. 2024-01-24. Echeloned saturation and forcing axioms. https://doi.org/10.1353/mpr.2024.a919661

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