erdos_591

Let $α$ be the infinite ordinal $\omega^{\omega^2}$. Is it true that any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$? This is true and was proved independently by Schipperus [Sc10] and Darby.

theorem erdos_591 : answer(True) ↔ OrdinalCardinalRamsey (ω ^ ω ^ 2) (ω ^ ω ^ 2) 3

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