A partition theorem for triples

Milner, E. C.; Prikry, K.

doi:10.1090/S0002-9939-1986-0840635-8

A partition theorem for triples
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by E. C. Milner and K. Prikry PDF

Proc. Amer. Math. Soc. 97 (1986), 488-494 Request permission

Abstract:

Consider a partition of triples of enumerable ordinals into two classes. We show that either for each natural number $k$, the first class contains all triples from a set of type $\omega + k$, or the second class contains all triples of a four element set.

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