<p>We show that a measurable cardinal is enough in order to construct two distinct countably closed mutually embeddable models. This answers a question from Eskew, M., et al.: Annals of Pure and Applied Logic, Vol. 175, Issue 1, Part B, 103325 (2024).</p>

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On countably closed mutually embeddable models

  • Moti Gitik

摘要

We show that a measurable cardinal is enough in order to construct two distinct countably closed mutually embeddable models. This answers a question from Eskew, M., et al.: Annals of Pure and Applied Logic, Vol. 175, Issue 1, Part B, 103325 (2024).