摘要
本文定义了LF拟仿紧空间的概念,用半内部等概念给出LF拟仿紧空间的刻划,作者讨论了LF拟仿紧空间的半正则化,L-好的推广等问题,得到一系列结果,还在几乎Huton正则LF拓扑空间中讨论了LF拟仿紧空间的进一步的性质。
The concept of LF nearly Paracompact space is defined and investigated.This kind of spaces are characterized by means of semi interor.Meion results:(1)In weak induced spaces.LF nearly paracompactness is a semi regular property.(2)LF nearly paracompcthess is an L good extension.(3)For every crisp space (X,T) and its induced LF topological space.(LX,ωL(T)).then ωL(Ts)=(ωL(T))s.Where Ts、(ωL(T))s are respectively semi regularization topolog in respect to (X,T) and (LX,ωL(T))In clmost Hutton regular induced spaces,the further characterizations are given.
出处
《模糊系统与数学》
CSCD
1997年第4期32-37,共6页
Fuzzy Systems and Mathematics
关键词
LF拟仿紧空间
正则闭集
半正则化
LF拓扑空间
LF nearly paracompact space
Regularclosed set
L good extiension
Semi regularization