可数良紧集的刻画与性质  

CHARACTERIZATIONS AND PROPERTIES OF COUNTABLY N-COMPACT SETS

作　　者：史福贵[1] 赵丽君 耿建敏[3] 

机构地区：[1]首都师范大学数学系,北京100037 [2]黑龙江农垦师专数学系,哈尔滨150301 [3]河北经贸大学基础部,石家庄050054

出　　处：《数学杂志》2001年第4期429-432,共4页Journal of Mathematics

基　　金：国家自然科学基金资助项目

摘　　要：本文借助于 α-序列 ,α-局部有限族及 α- - ω聚点等概念给出了可数良紧集的一些等价刻画 ,进而讨论了可数良紧集在 L值 Zadeh型函数下的逆不变性 。In this paper, we present characterizations of countably N compact set by means of the concepts of α sequence, α locally finite family of fuzzy sets and α - ω accumulation point. We discuss inverse invarant property of countably N compact set under L Zadeh type function. We prove that product of a N compact set and a countable N ompact set is countable N compact set.

关 键 词：FUZZY拓扑 良紧性 可数良紧性 α-局部有限族 聚点 ZADEH型函数 FUZZY格 

分 类 号：O189.13[理学—数学]