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Easton's theorem for the tree property below ℵω
Annals of Pure and Applied Logic ( IF 0.8 ) Pub Date : 2021-04-06 , DOI: 10.1016/j.apal.2021.102974 Šárka Stejskalová
中文翻译:
伊斯顿定理树酒店楼下ℵ ω
更新日期:2021-04-13
Annals of Pure and Applied Logic ( IF 0.8 ) Pub Date : 2021-04-06 , DOI: 10.1016/j.apal.2021.102974 Šárka Stejskalová
Starting with infinitely many supercompact cardinals, we show that the tree property at every cardinal , , is consistent with an arbitrary continuum function below which satisfies , . Thus the tree property has no provable effect on the continuum function below except for the restriction that the tree property at implies for every infinite κ.
中文翻译:
伊斯顿定理树酒店楼下ℵ ω
从无限多个超紧缩基数开始,我们证明了每个基数的树属性 , ,与下面的任意连续函数一致 满足 , 。因此,树的属性对下面的连续函数没有可证明的影响 除了tree属性位于 暗示 对于每个无限大的κ。