erdos_592

Determine which countable ordinals $β$ have the property that, if $α = \omega^β$, then in any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$.

theorem erdos_592 (β : Ordinal.{u}) : β.card ≤ ℵ₀ →
    OrdinalCardinalRamsey (ω ^ β) (ω ^ β) 3 ↔ (answer(sorry) : Ordinal.{u} → Prop) β

Recent Submissions

No submissions yet. Be the first to attempt this problem.