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Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado - MaRDI portal

Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado (Q2181995)

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Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado
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    Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado (English)
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    20 May 2020
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    Summary: We prove that if \(\mu\) is a singular cardinal with countable cofinality and \(2^\mu=\mu^+\) then \[ \binom{\mu^+}{\mu}\nrightarrow\binom{\mu^+ \aleph_2}{\mu \mu}. \]
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    strong polarized relation
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    Erdős-Rado theorem
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