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arXiv · 1706.00661

The higher sharp III: An EM blueprint of $0^{3\#}$ and the level-4 Kechris-Martin

Yizheng Zhu
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Abstract

We establish the descriptive set theoretic representation of the mouse $M_n^{\#}$, which is called $0^{(n+1)\#}$. This part partially finishes the case $n=2$ by establishing the higher level analog of the EM blueprint definition of $0^{\#}$. From this, we prove the level-4 Kechris-Martin Theorem and deal with the case $n=3$.

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Yizheng Zhu. 2017-05-30. The higher sharp III: An EM blueprint of $0^{3\#}$ and the level-4 Kechris-Martin. https://arxiv.org/abs/1706.00661

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