Echeloned Saturation and Forcing Axioms

Research output: Contribution to journalArticle


We show that under the failure of Chang’s conjecture and the assumption that Martin’s axiom holds and the continuum is above ω2, there are no weakly Laver ideals over ℵ1. This gives an answer to a question of Paul Larson’s. Likewise, we prove that under Baumgartner’s axiom there is no Laver ideal over ℵ2. This statement generalises Larson’s result at ℵ1 under Martin’s axiom.
Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalMathematical Proceedings of the Royal Irish Academy
Issue number1
StateSubmitted - 7 Feb 2024


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