Martin's measurable dilator
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908463161933824 |
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| author | Jeon, Hanul |
| author_facet | Jeon, Hanul |
| contents | Martin's remarkable proof of $\mathbfΠ^1_2$-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 $\mathbfΠ^1_2$-determinacy, which captures the structural essence of Martin's proof of $\mathbfΠ^1_2$-determinacy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Martin's measurable dilator Jeon, Hanul Logic 03E15, 03E55, 03E60, 03F15 Martin's remarkable proof of $\mathbfΠ^1_2$-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 $\mathbfΠ^1_2$-determinacy, which captures the structural essence of Martin's proof of $\mathbfΠ^1_2$-determinacy. |
| title | Martin's measurable dilator |
| topic | Logic 03E15, 03E55, 03E60, 03F15 |
| url | https://arxiv.org/abs/2503.12713 |