关于pre-拓扑群τ-narrow子集的一点注记  

A note onτ-narrow subsets of pre-topological groups

作　　者：谢瑜凡 XIE Yufan(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2022年第2期30-33,共4页Journal of Minnan Normal University：Natural Science

基　　金：福建省自然科学基金重点项目(2020J02043);国家自然科学基金(11571158);福建省中青年教师教育厅项目(JAT190397)。

摘　　要：主要寻求pre-拓扑群的满足何种性质的子集是τ-narrow,并证明了几乎拓扑群G的子集B是τ-narrow当且仅当由B代数生成G的子群是τ-narrow.此外,讨论τ-narrow子集的一些基本性质.In this paper,we mainly find the condition of a subset B of pre-topological groups such that B is τ-narrow,and prove that the property of a subset B of an almost topological group G being τ-narrow in G if and only if the subgroup of G algebraically generated by B is τ-narrow too. Moreover, we also discuss some properties of τ-narrow subsets of G.

关 键 词：pre-拓扑群 几乎拓扑群 τ-narrow 离散胞腔数 

分 类 号：O189[理学—数学]