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arXiv · 2109.04682

Aristotelian poetry

Shimon Garti·Saharon Shelah
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Abstract

Jing Zhang proved the consistency of $\binom{\omega_2}{\omega_1}\rightarrow\binom{n}{\omega_1}_\omega$ for every $n\in\omega$ with the negative relation $\binom{\omega_2}{\omega_1}\nrightarrow\binom{\omega}{\omega_1}_\omega$. We reduce the consistency strength of this statement to an $\omega_1$-Erdos cardinal.

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Shimon Garti, Saharon Shelah. 2021-09-10. Aristotelian poetry. https://doi.org/10.36045/j.bbms.240523

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