Unbalanced polarized relations

Garti, Shimon

doi:10.1090/proc/15300

Unbalanced polarized relations
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Proc. Amer. Math. Soc. 149 (2021), 1281-1287 Request permission

Abstract:

We prove the consistency of the relation $\binom {\mu ^+}{\mu }\nrightarrow \binom {\mu ^+\ \omega _1}{\mu \quad \mu }$ where $\mu$ is a strong limit singular cardinal of countable cofinality. This result can be forced at $\mu =\aleph _\omega$.

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