Infinite monochromatic paths and a theorem of Erdos-Hajnal-Rado

preprint2020arXivOpen access

We prove that if $μ>{\rm cf}(μ)=ω$ and $2^μ=μ^+$ then $\binom{μ^+}μ\nrightarrow\binom{μ^+\ \aleph_2}{μ μ}$ .

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Abstract