Variants of {\L}o\'s's Theorem

Toshimichi Usuba

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arXiv · 2501.14990

Variants of {\L}o\'s's Theorem

Toshimichi Usuba

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Abstract

We study \L o\'s's theorem in a choiceless context. We introduce some variants of \L o\'s's theorem. These variants seem weaker than \L o\'s's theorem, but we prove that these are equivalent to \L o\'s's theorem.

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Toshimichi Usuba. 2025-01-24. Variants of {\L}o\'s's Theorem. https://arxiv.org/abs/2501.14990

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