We give a model of set theory in which the strongly non‐stationary ideal over ${\wp }_{\mu }\mu$ is weakly presaturated below some canonical set. Here μ is a regular uncountable cardinal. The model is the forcing extension with the Lévy collapse of a Woodin cardinal to the successor of μ. This improves on results of Goldring and of the first author.

中文翻译：

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非平稳理想的局部弱饱和

我们给出了集合论的模型，其中强非平稳理想超过 ${\wp }_{\mu }\mu$在某些规范集以下弱饱和。在这里，μ是不可数的常规基数。该模型是Woodin主教的Lévy崩溃到μ后继的强制扩展。这比Goldring和第一作者的结果有所改善。