pre-拓扑群与余反射拓扑群的关系  

The relations of pre-topological groups and their co-reflexion group topologies

作　　者：吴婷 WU Ting(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39-43,共5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)。

摘　　要：主要研究pre-拓扑群与余反射拓扑群之间的拓扑性质关系,厘清它们之间在分离性、连通性、紧致性、可数性公理等拓扑性质的相互关系,证明余反射拓扑群是正则的当且仅当pre-拓扑群是正则的.In this paper,we mainly study the topological properties of pre-topological groups and co-reflexion topological groups,such as separability,connectedness,compactness,axioms of countability and some other topological properties,we prove that the co-reflexion topological group is regular if and only if the pre-topological group is regular.

关 键 词：pre-拓扑群 余反射拓扑群 pre-拓扑 连通性 

分 类 号：O189[理学—数学]