四川师范大学学报（自然科学版）2020，Vol.43Issue(5)：597-600,4.DOI:10.3969/j.issn.1001-8395.2020.05.004
不可数群上理想的基数不变量
Cardinal Invariants of Ideals on Uncountable Groups
摘要
Abstract
In this paper,we investigate the cardinal invariants on ideals of an uncountable Abelian groups. We find connections among these cardinal invariants within axiomatic system of set theory. Among others,we prove that if an ideal is weakly uniform,then the strong covering number is no more than the cofinality. We determine all the cardinal invariants for the countable ideal of the real line.关键词
基数不变量/可加数/一致数/覆盖数/共尾数Key words
cardinal invariants/additivity/uniformity/covering/cofinality分类
数理科学引用本文复制引用
朱慧灵,郑馥丹..不可数群上理想的基数不变量[J].四川师范大学学报（自然科学版）,2020,43(5):597-600,4.基金项目
National Natural Science Foundation of China for Young Scientists of China(11701592),the Joint Funds of the National Natural Science Foundation of China(U1811263)and Guangdong Key Laboratory of Big Data Analysis and Processing国家自然科学基金青年基金(11701592)、国家自然科学基金联合基金(U1811263)和广东省大数据分析与处理重点实验室项目 （11701592）
