TY - JOUR
T1 - Filters, Cohen sets and consistent extensions of the Erdos-Dushnik-Miller theorem
AU - Shelah, Saharon
AU - Stanley, Lee J.
PY - 2000/3
Y1 - 2000/3
N2 - We present two different types of models where, for certain singular cardinals λ of uncountable cofinality. λ → (λ, ω + 1)2, although λ is not a strong limit cardinal. We announce, here, and will present in a subsequent paper, [7], that, for example, consistently, אω1, (rightwards arrow with stroke) (אω1. ω + 1)3 and consistently. 2א0 (rightwards arrow with stroke) (2א0. ω + 1)2.
AB - We present two different types of models where, for certain singular cardinals λ of uncountable cofinality. λ → (λ, ω + 1)2, although λ is not a strong limit cardinal. We announce, here, and will present in a subsequent paper, [7], that, for example, consistently, אω1, (rightwards arrow with stroke) (אω1. ω + 1)3 and consistently. 2א0 (rightwards arrow with stroke) (2א0. ω + 1)2.
UR - http://www.scopus.com/inward/record.url?scp=0034421210&partnerID=8YFLogxK
U2 - 10.2307/2586535
DO - 10.2307/2586535
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AN - SCOPUS:0034421210
SN - 0022-4812
VL - 65
SP - 259
EP - 271
JO - Journal of Symbolic Logic
JF - Journal of Symbolic Logic
IS - 1
ER -