许多不同的由冈理想的均匀性数

IF 0.3 4区数学 Q1 Arts and Humanities

Archive for Mathematical Logic Pub Date : 2021-11-24 DOI:10.1007/s00153-021-00809-z

Lukas Daniel Klausner, Diego Alejandro Mejía

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引用次数: 9

摘要

使用生物强迫集的可数支持积，我们一致地表明，对于无数不同的函数，相关的Yorioka理想的均匀性数可以两两不同。此外，在相同的强迫扩展中，对于另外两种由实数参数化的简单基数特征(局部和反局部基数)，对于无数个参数，相应的基数是两两不同的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Many different uniformity numbers of Yorioka ideals

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Many different uniformity numbers of Yorioka ideals

Using a countable support product of creature forcing posets, we show that consistently, for uncountably many different functions the associated Yorioka ideals’ uniformity numbers can be pairwise different. In addition we show that, in the same forcing extension, for two other types of simple cardinal characteristics parametrised by reals (localisation and anti-localisation cardinals), for uncountably many parameters the corresponding cardinals are pairwise different.

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来源期刊

Archive for Mathematical Logic MATHEMATICS-LOGIC

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.