OPENHARDset theoryRamsey theory
Let $\mathfrak{c}$ be the cardinality of the reals, $\beta$ any countable ordinal, and $2\leq n<\omega$. Is it true that $\mathfrak{c}\to (\beta, n)_2^3$?
Notes: Erdos and Rado proved c -> (omega+n, 4)_2^3 for any 2 <= n < omega.
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