English

Echeloned saturation and forcing axioms

Logic 2025-03-21 v2

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 2\aleph_2, there are no weakly Laver ideals over 1\aleph_1. We also prove that under Baumgartner's axiom there are no Laver ideals over 2\aleph_2.

Cite

@article{arxiv.2401.13364,
  title  = {Echeloned saturation and forcing axioms},
  author = {Shimon Garti},
  journal= {arXiv preprint arXiv:2401.13364},
  year   = {2025}
}
R2 v1 2026-06-28T14:25:41.157Z