L-拓扑空间中S~* -连通性  

S~* -Connectedness L-Topological Spaces

作　　者：潘伟 徐振国[2] Pan Wei;XuZhenguo(School of Matliematic Science,Mudanjiang Normal University,Mudanjiang 157011,China;National Science and Technology Infrastriactiare Center,Beijing 100862,China)

机构地区：[1]牡丹江师范学院数学科学学院,黑龙江牡丹江157011 [2]国家科技基础条件平台中心,北京100862

出　　处：《南京师大学报（自然科学版）》2018年第2期8-11,共4页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：黑龙江省教育厅备案项目(1351MSYYB010);牡丹江师范学院青年学术骨干项目(GG2017002)

摘　　要：在L-拓扑空间借助于半开L-集和半闭L-集引入S~*-连通性,给出了它的一些等价刻画,并讨论S~*-连通性和S-连通性之间的关系.In this paper,the concept of S＊-connectedness is introduced in L-topological spaces by means of semi-open L-sets and semi-closed L-sets. Equivalent characterizations of the S＊-connectedness are given. Moreover,the relations among S＊-connectedness and S-connectedness are discussed.

关 键 词：L-拓扑空间 L-半开集 L-半闭集 S＊-连通性 S-连通性 樊畿定理 

分 类 号：O189.2[理学—数学]