1) L-smooth semi-closed sets
r-半闭集
1.
In this paper we introduce L-smooth semi -open and L-smooth semi-closed sets in an L-smooth topological space in view of the definition of A.
Sostak给出的L-smooth拓扑空间中,定义r-内部与r-闭包,r-半开集与r-半闭集,研究了它们的一些基本性质。
2) r-strong semi-closed sets
r强半闭集
1.
In this paper,we define r-strong semi-open sets,r-strong semi-closed sets and other strong forms of sets in L smooth topological spaces,and discuss and introduce the relationships among them.
在L光滑拓扑空间中给出了L光滑r强半开集,r强半闭集等概念和它们的一些基本性质。
3) r-semi-closure
r-半闭包
1.
In this paper,by using r-interior,r-closure,r-semi-interior,r-semi-closure in L-Smooth topological space,some equivalent conditions of L-Smooth semicontinuous mapping are given.
借助于L-Sm ooth拓扑空间中的r-内部,r-闭包,r-半内部,r-半闭包,给出了L-Sm ooth半连续映射的若干等价刻画,从而丰富了已有的结果。
4) LF-r closed set
LF-r闭集
1.
The concepts of r remote neighborhood family and r- remote neighborhood family are defined by means of LF-r closed set in LF topological spaces.
在LF拓扑空间中借助LF-r闭集定义了r远域族与r-远域族,进一步引入r-Lindelff可数性和弱r-Lindelff可数性的概念,证明了r-Lindel可数性和弱r-Lindel可数性对于LF-r闭子集是遗传的,是r拓扑性质。
5) r-preclosed sets
r-预闭集
1.
R-preopen sets、r-preclosed sets、r-preinterior and r-preclosure are defined in L-smooth topological spaces,some of their basic properties are studied.
文章定义了L-sm ooth拓扑空间中的r-预开集、r-预闭集、r-预内部、r-预闭包,研究了它们的一些基本性质。
6) r Open(Closed) Set
r开(闭)集
补充资料：闭集
闭集
dosed set
闭集ld吹d肥t买姗.叮l说M“馏ec佃]，拓扑空间中的 含有它的所有极限点〔见集合的极限点(】imjtpolnt of a set)、的集合.于是，闭集的补集的所有点都是内点，所以闭集可定义为开集的补集.闭集的概念是把拓扑空间定义为具有满足下列公理的特定集合系统〔所谓闭集)的作空集X的基础:X本身和空集是闭集;任意个闭集的交是闭集;有限个闭集的并是闭集.
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参考词条