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arXiv · 2611.05198

The P-Ideal Dichotomy and the Failure of Two-Cardinal Square Principles

Victor Torres-Perez·Liuzhen Wu
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Abstract

We prove that the $\mathrm{P}$-ideal dichotomy implies the negation of the square principle $\square(λ, ω)$ for every regular cardinal $λ\geqω_2$.

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Victor Torres-Perez, Liuzhen Wu. 2026-11-03. The P-Ideal Dichotomy and the Failure of Two-Cardinal Square Principles. https://arxiv.org/abs/2611.05198

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