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超紧空间的刻划及其应用
引用本文:周武能,孟培源.超紧空间的刻划及其应用[J].高师理科学刊,1993(1).
作者姓名:周武能  孟培源
作者单位:郧阳师专 (周武能),咸宁师专(孟培源)
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.

关 键 词:超紧性  相关远域族

The Geometric Characterization of Ultra-fuzzy Compact Spaces and its Applications
Zhou Wuneng Mong Peiyuan.The Geometric Characterization of Ultra-fuzzy Compact Spaces and its Applications[J].Journal of Science of Teachers'College and University,1993(1).
Authors:Zhou Wuneng Mong Peiyuan
Institution:Zhou Wuneng Mong Peiyuan (Yunyang Normal College) (Xianling Normal College)
Abstract: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.
Keywords:Ultra -fuzzy Relative R -neighborhood family
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