LF闭包空间中的层仿紧性  

Sheaf 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8期1664-1667,1672,共5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,介绍了层仿紧性,并刻画了其基本特征。研究了LF闭包空间中层仿紧性的性质:对C∨ech闭包算子的像集可遗传,与F仿紧集的乘积是层仿紧集,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 sheaf paracompact is introduced based on the paracompact in LF cloure spaces.Its characteristics are studied.The properties of sheafparacompact in LF cloure spaces are investigated：hereditary with respact to sets as C∨ech cloure operator,the product with F paracompact is sheaf paracompact,and it is proved that the sheaf 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 强α-局部有限 

分 类 号：O189.11[理学—数学]