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

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2022-06-29 DOI:10.4064/cm8917-2-2023

Miguel Alvarado Cardona

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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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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