L-拓扑空间中的SPC-连通性

SPC-connectivity in L-topological space

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.

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.