论文标题

双重弱点

Double weakness

论文作者

Garti, Shimon, Shelah, Saharon

论文摘要

我们证明,始终存在一个弱但不可访问的基本$λ$,序列$ \ langle 2^θ:θ<λ\ rangle $最终并不恒定,而弱钻石则在$λ$中失败。我们还证明,钻石始终是失败的,但是弱钻石的参数化版本以某种难以接近的$λ$保持。

We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal $λ$ for which the sequence $\langle 2^θ:θ<λ\rangle$ is not eventually constant and the weak diamond fails at $λ$. We also prove that consistently diamond fails but a parametrized version of weak diamond holds at some strongly inaccessible $λ$.

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