LF拓扑空间的Es-紧性  

On the E-Compactness in LF Topological Spaces

作　　者：安艳 刘博瑞 江伟[1] AN Yan;LIU Bo-rui;JIANG Wei(School of Information Engineering,Tarim University,Alaer 843300,China)

机构地区：[1]塔里木大学信息工程学院,新疆阿拉尔843300

出　　处：《数学的实践与认识》2021年第4期235-239,共5页Mathematics in Practice and Theory

摘　　要：利用α-E_(s)远域族在LF拓扑空间中引进了E_(s)-紧性的概念,得到了E_(s)-紧空间.此外,给出了E_(s)-紧空间的3种等价刻画,证明了E_(s)-紧性是L-好的推广,讨论了E_(s)-紧性的一些基本性质,如:E_(s)闭遗传性和弱E_(s)同胚不变性.In this paper,the concept of E_(s)-compactness is introduced into in LF topological spaces by usingα-E_(s)remote neighborhoods family,which results in E_(s)-compact spaces.Besides,three kinds of equivalent characterizations of E_(s)-compact spaces are described,with E_(s)-compactness proved to be L-good generalization.What’s more,some basic properties of E_(s)-compact spaces are also discussed in this paper,such as E_(s)closed heredity and weak E_(s)homeomorphic invariant property.

关 键 词：LF拓扑空间 α-Es远域族 Es-紧空间 r-Es覆盖 r-有限交性质 

分 类 号：O189.11[理学—数学]