弱SR-紧空间  

Weakly SR-compact Space

作　　者：白世忠[1] 

机构地区：[1]五邑大学数理系,广东江门529020

出　　处：《西安石油学院学报（自然科学版）》2003年第2期86-88,共3页Journal of Xi'an Petroleum Institute（Natural Science Edition)

基　　金：国家自然科学基金资助项目 ( 69875 0 14)

摘　　要：在 L- fuzzy拓扑空间中提出了弱 SR-紧空间的概念 ,给出了它的 α-网式、α-滤子式、远域族式、覆盖式以及有限交性质的集族式等多种刻画 ,讨论了它的基本性质 ,在模糊拓扑空间得到了 SR-紧性与弱The concept of weakly SR-compact space is put forward in L-fuzzy topological spaces. Its some characterizations are given by means of α-nets,α-filters, remote-neighborhood families and the family of subsets with the finite intersection characteristic. Then some of its characteristics are discussed, and an interesting relationship is obtained between SR-compactness and weakly SR-compactness in a fuzzy topological space.

关 键 词：L-FUZZY拓扑空间 弱SR-紧空间 远域 覆盖 Α-网 

分 类 号：O189[理学—数学]