Martin's measurable dilator

Hanul Jeon

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arXiv · 2503.12713

Martin's measurable dilator

Hanul Jeon

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Abstract

Martin's remarkable proof of $\mathbf{\Pi}^1_2$-determinacy from an iterable rank-into-rank embedding highlighted the connection between large cardinals and determinacy. In this paper, we isolate a large cardinal object called a measurable dilator from Martin's proof of $\mathbf{\Pi}^1_2$-determinacy, which captures the structural essence of Martin's proof of $\mathbf{\Pi}^1_2$-determinacy.

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BibTeX RIS

Hanul Jeon. 2025-03-17. Martin's measurable dilator. https://arxiv.org/abs/2503.12713

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