TY - JOUR
T1 - A partition relation for triples using a model of Todorčević
AU - Milner, E. C.
AU - Prikry, K.
N1 - Funding Information:
NSERC Grant No. A5198 and NSF Grant MCS 830361.
PY - 1991/12/3
Y1 - 1991/12/3
N2 - Todorčević has shown that there is a ccc extension M in which MAω1 + 2ω = ω2 holds and also in which the partition relation ωi → (ω1,α)2 holds for every denumerable ordinal α. We show that the partition relation for triples ω1 → (ω2 + 1, 4)3 holds in the model M, and hence by absoluteness this is a theorem in ZFC.
AB - Todorčević has shown that there is a ccc extension M in which MAω1 + 2ω = ω2 holds and also in which the partition relation ωi → (ω1,α)2 holds for every denumerable ordinal α. We show that the partition relation for triples ω1 → (ω2 + 1, 4)3 holds in the model M, and hence by absoluteness this is a theorem in ZFC.
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U2 - 10.1016/0012-365X(91)90336-Z
DO - 10.1016/0012-365X(91)90336-Z
M3 - Article
AN - SCOPUS:38149144670
VL - 95
SP - 183
EP - 191
JO - Discrete Mathematics
JF - Discrete Mathematics
SN - 0012-365X
IS - 1-3
ER -