论文标题

强迫$π^1_3 $ - 还原属性和$π^1_3 $均匀化的失败

Forcing the $Π^1_3$-Reduction Property and a Failure of $Π^1_3$-Uniformization

论文作者

Hoffelner, Stefan

论文摘要

我们强迫构造宇宙获得$π^1_3 $还原属性的模型,从而从$ M_1^{\#} $的存在中降低了最著名的大型基本强度,仅对ZFC。在此模型中,$π^1_3 $ - 统一属性失败,这首先将这两个原则分开。

We force over the constructible universe to obtain a model of the $Π^1_3$-reduction property, thus lowering the best known large cardinal strength from the existence of $M_1^{\#}$ to just ZFC. In this model the $Π^1_3$-uniformization property fails, which separates these two principles for the first time.

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