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arXiv · 2603.08915

A Note on a Theorem of Apter

Rahman Mohammadpour·Otto Rajala·Sebastiano Thei
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Abstract

We show that the consistency of $\mathrm{ZF} + \mathrm{AD}_{\mathbb{R}} + ``\Theta$ is measurable$"$ implies the consistency of $\mathrm{ZF} +``\Theta$ is the least strongly regular cardinal and the least measurable cardinal$"$ + $``$all uncountable cardinals below $\Theta$ are of countable cofinality$"$.

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Rahman Mohammadpour, Otto Rajala, Sebastiano Thei. 2026-03-09. A Note on a Theorem of Apter. https://arxiv.org/abs/2603.08915

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