LF闭包空间的仿紧性  

Paracompactness in L-Fuzzy Closure Space

作　　者：赵美香[1] 孟广武[2] 贾志刚[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《汕头大学学报（自然科学版）》2005年第3期26-30,共5页Journal of Shantou University：Natural Science Edition

基　　金：山东省自然科学基金资助项目(No:Y2000A05)

摘　　要：在LF闭包空间中,引入α-包域、α--包域族等概念,并以此定义了F紧集、F仿紧集和F乘积空间.给出了F紧集和F仿紧集的特征刻画.证明了F紧集是F仿紧集,F仿紧性是F可乘性.In L-fuzzy closure spaces, the concepts of α-closure neighborhood and α^--closure family are introduced, and fuzzy compact seta and fuzzy paracompact sets and fuzzy product spaces are presented by them,The characterizations of fuzzy compact seta and fuzzy paracompact seta are given. It is proved that fuzzy compact sets are fuzzy paracompact sets and fuzzy paracompactness is fuzzy multiplicative.

关 键 词：模糊拓扑学 LF闭包空间 α-包域 α^--包域族 F仿紧集 F紧集 

分 类 号：O159[理学—数学]