UNIFORMING n-PLACE FUNCTIONS ON T ⊆ ds(α)

@inproceedings{GRUENHUTUNIFORMINGNF,
  title={UNIFORMING n-PLACE FUNCTIONS ON T ⊆ ds(α)},
  author={ESTHER GRUENHUT}
}
  • ESTHER GRUENHUT
In this paper the Erd˝ os-Rado theorem is generalized to the class of well founded trees. We define an equivalence relation on the class ds(∞) <ℵ 0 (finite sequences of decreasing sequences of ordinals) with ℵ0 equivalence classes, and for n < ω a notion of n-end-uniformity for a colouring of ds(∞) <ℵ 0 with µ colours. We then show that for every ordinal α, n < ω and cardinal µ there is an ordinal λ so that for any colouring c of T = ds(λ) <ℵ 0 with µ colours, T contains S isomorphic to ds… CONTINUE READING