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.
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)
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
fuzzy topology
L-fuzzy closure space
α-closure neighborhood
α^--closure family
fuzzy paracompact set
fuzzy compact set
