广义拓扑空间中几类开集之间的关系探究  

The relationships of some generalized open sets in generalized topological space

作　　者：李阳[1] 朱培勇[1] 

机构地区：[1]电子科技大学数学科学学院,四川成都611731

出　　处：《西南民族大学学报（自然科学版）》2015年第4期482-484,共3页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金资助(项目批准号:10671134)

摘　　要：强广义性作为广义拓扑区别于一般拓扑的重要性质之一,是广义拓扑研究中一个有意义的课题.致力于在广义拓扑空间中研究五种广义开集之间关于强广义性的相互关系.进而,利用所获得主要结果证明极不连通性严格强于强广义性.最后,给出在广义拓扑空间中关于极不连通性与不连通性之间的几个简单的结果.Strong generalized topology, as one of properties of generalized topology different from general topology, is an impor- tant topic in the field of generalized topology. This paper is devoted to studying the relationship between five generalized open sets and strong generalized topology. As an application of the conclusions, the extremely disconnected generalized topological space is a strict generalization of the strong topological space. Furthermore,the paper investigates some properties between the extremely disconnected generalized topological space and the disconnected generalized topological space.

关 键 词：广义拓扑 强广义性 极不连通性 不连通性 

分 类 号：O189[理学—数学]