A partition relation for triples using a model of Todorčević

Autor: E. C. Milner, Karel Prikry
Rok vydání: 1991
Předmět:
Zdroj: Discrete Mathematics. 95(1-3):183-191
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90336-z
Popis: TodorÂ?eviÂ? has shown that there is a ccc extension M in which MAÂ?1 + 2Â? = Â?2 holds and also in which the partition relation Â?i Â? (Â?1,Â?)2 holds for every denumerable ordinal Â?. We show that the partition relation for triples Â?1 Â? (Â?2 + 1, 4)3 holds in the model M, and hence by absoluteness this is a theorem in ZFC.
Databáze: OpenAIRE