论文标题

友好的迭代迫使$ \ Mathcal {e} $的四个基本特征可以是成对的

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

论文作者

Cardona, Miguel A.

论文摘要

令$ \ MATHCAL {E} $为$σ$ - 理想的封闭度量零集的真实集合。我们使用CCC POSET的Ultrafilter-Extendable矩阵迭代来迫使,对于$ \ Mathcal {E} $,它们相关的基本特性(即\添加性,覆盖率,均匀,均匀性和辅助性)是成对的。

Let $\mathcal{E}$ be the $σ$-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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