A Note on a Theorem of Apter
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917327724871680 |
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| author | Mohammadpour, Rahman Rajala, Otto Thei, Sebastiano |
| author_facet | Mohammadpour, Rahman Rajala, Otto Thei, Sebastiano |
| contents | We show that the consistency of $\mathrm{ZF} + \mathrm{AD}_{\mathbb{R}} + ``Θ$ is measurable$"$ implies the consistency of $\mathrm{ZF} +``Θ$ is the least strongly regular cardinal and the least measurable cardinal$"$ + $``$all uncountable cardinals below $Θ$ are of countable cofinality$"$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08915 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Note on a Theorem of Apter Mohammadpour, Rahman Rajala, Otto Thei, Sebastiano Logic 03E35 We show that the consistency of $\mathrm{ZF} + \mathrm{AD}_{\mathbb{R}} + ``Θ$ is measurable$"$ implies the consistency of $\mathrm{ZF} +``Θ$ is the least strongly regular cardinal and the least measurable cardinal$"$ + $``$all uncountable cardinals below $Θ$ are of countable cofinality$"$. |
| title | A Note on a Theorem of Apter |
| topic | Logic 03E35 |
| url | https://arxiv.org/abs/2603.08915 |