半新基本特征

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2023-10-01 DOI:10.1016/j.apal.2023.103303

Jörg Brendle , Lorenz J. Halbeisen , Lukas Daniel Klausner , Marc Lischka , Saharon Shelah

引用次数: 3

摘要

在已知的基数特征s、r和i的基础上，我们引入了九个相关的基数特征，利用渐近密度的概念来刻画无穷集的不同相交性质。我们证明了几个界和一致性结果，例如s<；s12，以及关于i12的可能值的几个结果。

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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Halfway new cardinal characteristics

Based on the well-known cardinal characteristics $s$ , $r$ and $i$ , we introduce nine related cardinal characteristics by using the notion of asymptotic density to characterise different intersection properties of infinite sets. We prove several bounds and consistency results, e.g. the consistency of $s < s_{\frac{1}{2}}$ , as well as several results about possible values of $i_{\frac{1}{2}}$ .

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.