Abstract
Let $\mu$ be a strong limit singular cardinal. We prove that if $2^\mu>\mu^+$ then the almost strong polarized partition relation $\binom{\mu^+}{\mu}\rightarrow \binom{\tau}{\mu}_{\theta}$ for every ordinal $\tau$ smaller that $\mu^+$ and for every $\theta$ smaller than cf$(\mu) $. We obtain an optimal positive relation under $2^\mu=\mu^+$, as after collapsing $2^\mu$ to $\mu^+$ this positive relation is preserved.
Citation
Shimon Garti. Andrés Villaveces. "An almost strong relation." Bull. Belg. Math. Soc. Simon Stevin 30 (4) 456 - 467, december 2023. https://doi.org/10.36045/j.bbms.230308
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