LF闭包空间中的可数仿紧性  

Countably Paracompact Sets in LF Cloure Spaces

作　　者：孙军娜[1] 

机构地区：[1]渭南师范学院科技处,渭南714000

出　　处：《科学技术与工程》2011年第21期4959-4962,共4页Science Technology and Engineering

基　　金：渭南师范学院研究生项目(10YKZ049);渭南师范学院重点科研项目(11YKF011)资助

摘　　要：仿紧性是模糊拓扑学中的重要概念,在LF闭包空间中仿紧性的基础上,介绍了可数仿紧性,并刻画了其基本特征.研究了LF闭包空间中可数仿紧性的性质:对C∨ech闭包算子的像集可遗传,是"L-好的推广",具有LF弱同胚不变性.The paracompact is the important property of the F-topology spaces.The concept of countably paracompact is introduced based on the paracompact in LF cloure spaces.Its characteristics are studied.The properties of countably paracompact in LF cloure spaces are investigated：hereditary with respact to sets asC∨echcloure operator,it is proved that the countably paracompact is ＂L-good extension＂,and with weakly invariant with embryo.

关 键 词：LF闭包空间 α-包域族 余加细 α-局部有限 

分 类 号：O189.1[理学—数学]