强拟Lindelof空间及其性质  

Some Properties of Strongly Quasi-Lindelof Spaces

作　　者：吴耀强[1] 

机构地区：[1]宿迁学院教师教育系,江苏宿迁223800

出　　处：《四川师范大学学报（自然科学版）》2015年第5期686-690,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：江苏省教育科学“十二五”规划课题项目(D201301091)

摘　　要：首先利用强拟开集概念引入强拟Lindelf空间概念,讨论该空间及其子空间、和空间一些性质,并指出强拟Lindelf空间具有强拟闭遗传性与强拟同胚不变性.The concept of strongly quasi-Lindelf space is introduced by strongly quasi-open sets in this paper,which is a kind of extension of strongly quasi-compact space. Some properties of this kind of spaces and their subspaces and sum spaces are discussed. It is proved that the strongly quasi-Lindelf space is strongly quasi-closed hereditary and the strongly quasi-Lindelf space has strongly quasi-homomorphic invariability.

关 键 词：强拟开集 强拟Lindelof空间 强拟连续 

分 类 号：O189.11[理学—数学]