A friendly iteration forcing that the four cardinal characteristics of $\mathcal E$ can be pairwise different

Pub Date : 2022-06-29 DOI:10.4064/cm8917-2-2023
Miguel Alvarado Cardona
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引用次数: 3

Abstract

Let $\mathcal{E}$ be the $\sigma$-ideal generated by the closed measure zero sets of reals. We use an ultrafilter-extendable matrix iteration of ccc posets to force that, for $\mathcal{E}$, their associated cardinal characteristics (i.e.\ additivity, covering, uniformity and cofinality) are pairwise different.
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一个友好的迭代,强制$\mathcal E$的四个基本特征可以成对不同
设$\mathcal{E}$是实数的闭测度零集生成的$\sigma$理想。我们使用ccc偏序集的超滤可扩展矩阵迭代来强制,对于$\mathcal{E}$,它们相关的基本特征(即可加性、覆盖性、一致性和共尾性)是成对不同的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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