L-拓扑空间中的SPC-连通性
SPC-connectivity in L-topological space
刘生云 1王小霞 1王玉焕1
作者信息
- 1. 延安大学数学与计算机学院,陕西 延安 716000
- 折叠
摘要
研究了L-拓扑空间中的SPC-连通性.首先借助强半开集和强半闭集引入SPC-连通性的概念,并研究了SPC-连通性的等价刻画;其次讨论了SPC-连通性的一些性质以及证明了SPC-连通性是拓扑不变性;最后讨论了SPC-连通性与连通性之间的关系,得出:在L-拓扑空间中,SPC-连通一定是连通的,反之不成立,进而丰富和完善了L-拓扑空间中的连通性理论.
Abstract
In this paper,SPC-connectivity in L-topological space was studied.Firstly,the concept of SPC-connectivity was introduced by strong semi-open sets and strong semi-closed sets,and the equivalent characterization of SPC-connectivity was studied;Secondly,some properties of SPC-connectivity were discussed,and it was proved that SPC-connectivity was topologi-cal invariance;Finally,the relationship between SPC-connectivity and connectedness was discussed and it was concluded that SPC-connectivity must be connected in L-topological space,and it was not true the other way,thus further enriching and per-fecting the connectivity theory in L-topological space.
关键词
L-拓扑空间/强半开集/强半闭集/SPC-连通性Key words
L-topological space/strong semi-open set/strong semi-closed set/SPC-Connectivity引用本文复制引用
基金项目
国家自然科学基金地区科学基金(12261090)
陕西省自然科学基础研究计划(2018JM1042)
出版年
2024
NETL
NSTL
万方数据