Abstract
We show that under the failure of Chang’s conjecture and the assumption that Mar-tin’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 language | English |
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Pages (from-to) | 1-14 |
Number of pages | 14 |
Journal | Mathematical Proceedings of the Royal Irish Academy |
Volume | 124A |
Issue number | 1 |
DOIs | |
State | Published - 2024 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Algebra and Number Theory
- Applied Mathematics