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 |
|---|---|
| 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 - 1 Jan 2024 |
| Externally published | Yes |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Algebra and Number Theory
- Applied Mathematics