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arXiv · 2301.12413

An almost strong relation

Shimon Garti·Andrés Villaveces
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Abstract

Let $\mu$ be a strong limit singular cardinal. We prove that if $2^{\mu} > \mu^+$ then $\binom{\mu^+}{\mu}\to \binom{\tau}{\mu}_{<{\rm cf}(\mu)}$ for every ordinal $\tau<\mu^+$. We obtain an optimal positive relation under $2^\mu = \mu^+$, as after collapsing $2^\mu$ to $\mu^+$ this positive relation is preserved.

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Shimon Garti, Andrés Villaveces. 2023-01-29. An almost strong relation. https://doi.org/10.36045/j.bbms.230308

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