Maximal models up to the first measurable in ZFC

John T. Baldwin; Saharon Shelah

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arXiv · 2111.01709

Maximal models up to the first measurable in ZFC

John T. Baldwin·Saharon Shelah

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Abstract

Theorem: There is a {\em complete sentence} $\phi$ of $L_{\omega_1,\omega}$ such that $\phi$ has maximal models in a set of cardinals $\lambda$ that is cofinal in the first measurable $\mu$ while $\phi$ has no maximal models in any $\chi \geq \mu$.

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BibTeX RIS

John T. Baldwin, Saharon Shelah. 2021-11-02. Maximal models up to the first measurable in ZFC. https://arxiv.org/abs/2111.01709

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