论文标题

使用Tukey订单强制cichoń图的星座

Forcing constellations of Cichoń's diagram by using the Tukey order

论文作者

Cardona, Miguel A., Mejía, Diego A.

论文摘要

我们使用已知的有限支持迭代技术来展示模型的各种示例,在这些模型中,Cichoń图的几个基本特征是成对的。我们展示了一些简单的例子,迫使Cichoń图的左侧,并将限制技术呈现给模型,以强迫Cichoń的最大值(来自Goldstern,Kellner,Shelah和第二作者)。我们专注于如何通过Tukey Order获得所有星座中强制的值。

We use known finite support iteration techniques to present various examples of models where several cardinal characteristics of Cichoń's diagram are pairwise different. We show some simple examples forcing the left-hand side of Cichoń's diagram, and present the technique of restriction to models to force Cichoń's maximum (original from Goldstern, Kellner, Shelah, and the second author). We focus on how the values forced in all the constellations are obtained via the Tukey order.

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