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F弱Urysohn空间
引用本文:肖家洪,张燕.F弱Urysohn空间[J].宝鸡文理学院学报(自然科学版),1999,19(3):16-18.
作者姓名:肖家洪  张燕
作者单位:零陵师范专科学校数学系!湖南永州425000
摘    要:在模糊拓扑空间中,借助远域和F集的F强半内部算子,引入了F弱Urysohn空间的概念,给出了一个F拓扑空间是F弱Urysohn空间的充要条件及其它有关结论,并且证明了F弱Urysohn分离性是F同胚不变性质。

关 键 词:F弱Urysohn空间  F强半开集  模糊拓扑空间

Fuzzy weakly Urysohn spaces
XIAO Jia hong,ZHANG Yan.Fuzzy weakly Urysohn spaces[J].Journal of Baoji College of Arts and Science(Natural Science Edition),1999,19(3):16-18.
Authors:XIAO Jia hong  ZHANG Yan
Abstract:The concept of F weakly Urysohn space is introduced in the fuzzy topologial space with the help of the remote neighborhood and the F strong semi interior of fuzzy set,the sufficient and necessary conelition are given for a F topology space being the F weakly Urysohn space and other conclusions,and it had been proved that separation property of the F weakly Urysohn is the F homeomorphic invariance.
Keywords:fuzzy topological spaces  fuzzy weakly Urysohn spaces  fuzzy strongly semiopen sets  romote  neighborhoods
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