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.
作者
吴婷
WU Ting(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)
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)。