摘要
本文在L—不分明拓扑空间引入相关远域族的概念,由此对超紧性进行了若干刻划.作为应用,还借助相关远域族证明了超紧性的Alexander子基引理以及由强局部有限的相关远域族定义的超仿紧性是L—好的推广.
In this paper a conception of relative R -neighborhood family in L - fuzzy topological spaces is introduced,by which some characterizations of ultra-fuzzy compactness are given;using the conception,we've proved the Alex ander's subbase lemma of ultra-fuzzy compactness. Furthermore the ultra-fuzzy paracompactness defined by locally strong finite relative R-neighborhood family is proved to be a L-good extension.
关键词
超紧性
相关远域族
超紧空间
Ultra -fuzzy Relative R -neighborhood family