Iterates of $M_1$

Yizheng Zhu

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arXiv · 1705.10725

Iterates of $M_1$

Yizheng Zhu

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Abstract

Assume $\boldsymbol{\Delta}^1_{2}$-determinacy. Let $L_{\kappa_3}[T_2]$ be the admissible closure of the Martin-Solovay tree and let $M_{1,\infty}$ be the direct limit of $M_1$ via countable trees. We show that $L_{\kappa_3}[T_2] \cap V_{u_{\omega}} = M_{1,\infty} | u_{\omega}$.

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Yizheng Zhu. 2017-05-30. Iterates of $M_1$. https://arxiv.org/abs/1705.10725

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