论文标题

不一致的强迫公理在$ω_2$

An Inconsistent Forcing Axiom at $ω_2$

论文作者

Todorčević, Stevo, Xiong, Shihao

论文摘要

我们表明,可计数紧凑的强迫公理,$ω_2$ -KNASTER,良好的posets不一致。这是Shelah的不一致结果的补充,并将Martin Axiom概括为$ω_2$的阶段设定了新的限制。

We show that the forcing axiom for countably compact, $ω_2$-Knaster, well-met posets is inconsistent. This is supplemental to an inconsistency result of Shelah and sets a new limit to the generalization of Martin's Axiom to the stage of $ω_2$.

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