摘要
首先利用强拟开集概念引入正则强拟开(闭)集、半正则强拟开(闭)集等概念,讨论了此类集合的一些性质,并且得到了正则强拟开(闭)集的等价刻画.其次,通过强拟同胚概念进一步分析了与拓扑空间(X,T)具有相同强拟开集族的全体拓扑组成的拓扑族[U]的结构,最后得到了[U]中最强拓扑的一种新结构形式.
First, the concepts of regular strongly quasi-open （closed） and semi-regular strongly quasi-open （closed） sets are introduced by using that of strongly quasi-open sets in tiffs paper. Some properties are discussed and their characterization theorems are proved. The stueture of the family [ ] constituted of all topologies which possess the same strongly quasi-open sets is analyzed via the concept of stongly quasi-homeomorphism. Finally, the new structural form of the strongest topology is obtained.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第1期63-66,共4页
Journal of Sichuan Normal University（Natural Science）
基金
江苏省教育科学"十一五"规划课题基金(D/2009/01/155)资助项目
关键词
强拟开集
正则强拟开集
强拟同胚
strongly quasi-open sets
regular strongly quasi-open sets
strongly quasi-homeomorphism
