Lightface mice with finitely many Woodin cardinals from optimal determinacy hypotheses

Yizheng Zhu

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arXiv · 1610.02352

Lightface mice with finitely many Woodin cardinals from optimal determinacy hypotheses

Yizheng Zhu

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Abstract

The determinacy of lightface $\Delta^1_{2n+2}$ and boldface $\boldsymbol{\Pi}^1_{2n+1}$ sets implies the existence of an $(\omega, \omega_1)$-iterable $M_{2n+1}^{\#}$.

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Yizheng Zhu. 2016-10-07. Lightface mice with finitely many Woodin cardinals from optimal determinacy hypotheses. https://arxiv.org/abs/1610.02352

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