A Note on a Theorem of Apter
Abstract
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$"$.
Fields of Study & Subjects
Advanced Topology and Set Theory
Mathematical and Theoretical Analysis
Advanced Banach Space Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 9 March 2026
- Language
- EN
- Document type
- Preprint