Martin's Axiom and Weak Kurepa Hypothesis
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910692017176576 |
|---|---|
| author | Mohammadpour, Rahman |
| author_facet | Mohammadpour, Rahman |
| contents | I show that it is consistent relative to the consistency of a Mahlo cardinal that Martin's axiom holds at $ω_2$, but the weak Kurepa Hypothesis fails. This answers a question posed by Honzik, Lambie-Hanson and Stejskalová. The consistency result is obtained by constructing a model where the weak Kurepa Hypothesis fails in any c.c.c. forcing extension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Martin's Axiom and Weak Kurepa Hypothesis Mohammadpour, Rahman Logic 03E35, 03E50, 03E57 I show that it is consistent relative to the consistency of a Mahlo cardinal that Martin's axiom holds at $ω_2$, but the weak Kurepa Hypothesis fails. This answers a question posed by Honzik, Lambie-Hanson and Stejskalová. The consistency result is obtained by constructing a model where the weak Kurepa Hypothesis fails in any c.c.c. forcing extension. |
| title | Martin's Axiom and Weak Kurepa Hypothesis |
| topic | Logic 03E35, 03E50, 03E57 |
| url | https://arxiv.org/abs/2411.04835 |