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1)  weakly induced L-smooth topological space
L-smooth弱诱导拓扑空间
2)  induced L-smooth topological space
L-smooth诱导拓扑空间
3)  weakly induced L fuzzy topological spaces
弱诱导的L-fuzzy拓扑空间
4)  L-smooth topological space
L-smooth拓扑空间
1.
S_r-convergence of net in L-smooth topological spaces;
L-smooth拓扑空间中分子网的s_r-收敛性
2.
Equivalent conditions of semicontinuous mapping in L-smooth topological space;
L-Smooth拓扑空间中半连续映射的等价刻画
3.
r-semi-preopen sets,r-semi-preclosed sets,r-semi-preinterior and r-semi-preclosure are defined in L-smooth topological spaces,some of their basic properties are studied.
在L-smooth拓扑空间中定义了r-半预开集,r-半预闭集、r-半预内部、r-半预闭包,研究了它们的一些基本性质;同时,引入了L-smooth半预连续映射、L-smooth半预开映射及L-smooth半预闭映射的概念,给出了它们的特征性质。
5)  L-smooth topological spaces
L-smooth拓扑空间
1.
ST_i(i=0,1,2) Separation Axioms in L-smooth Topological Spaces;
L-smooth拓扑空间的ST_i(i=0,1,2)分离性
2.
A certain new connectedness which is called prconnectedness is introduced by means of L-smooth r-preclosure in L-smooth topological spaces.
在L-smooth拓扑空间中借助于L-smooth r-预闭包引入了一种新的连通性,称之为pr-连通性。
3.
In this paper,based on the paper[5],r-semi-preopen sets,r-semi-preclosed sets,r-semi-preinterior and r-semi-preclosure are defined in L-smooth topological spaces,some of their basic properties are studied.
以文献[5]为基础,在L-smooth拓扑空间中定义了r-半预开集、r-半预闭集、r-半预内部、r-半预闭包,研究了它们的一些基本性质;同时,引入了L-smooth半预不定映射、L-smooth半预不定开映射、L-smooth半预不定闭映射及L-smooth半预不定同构映射的概念,给出了它们的等价刻画,并系统的讨论了它们之间的关系,推广了已有的结果。
6)  smooth L fuzzy topological spaces
Smooth L-Fuzzy拓扑空间
补充资料:弱拓扑


弱拓扑
weak topology

  【补注】上面引人的弱拓扑常常记为6(X,F),它是Hausdorff拓扑,当且仅当F分离X的点. 亦见强拓扑(strong topo10gy).弱拓扑【we欧tq军,l卿;c月a6既Tono几or抓] 向量空间X上由半范数(selrll一norm)族P(x)“}f(x)}生成的局部凸拓扑(IOCa刀y eonvex topology),这里f跑遍(代数的)对偶空间(dUal sPace)X‘的某个子集F.
  
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