Infinite Monochromatic Paths and a Theorem of Erdős-Hajnal-Rado

Shimon Garti, Menachem Magidor, Saharon Shelah
2020 Electronic Journal of Combinatorics  
We prove that if $\mu$ is a singular cardinal with countable cofinality and $2^\mu=\mu^+$ then $\binom{\mu^+}{\mu}\nrightarrow\binom{\mu^+\ \aleph_2}{\mu\ \mu}$.
doi:10.37236/8849 fatcat:gtvjlzemcnd4dork3p3jn3mfrq