1) LF topology
LF拓扑
1.
A Kind of methods of describing LF Topology;
刻划LF拓扑的一种方法
2.
Based on the paper〔1〕,give LF topology definited LF pre-norm to the concept of closed set into LF pre-normal space with the theory of convergence of molecular net,and discuss relative properties and prove that LF pre-normal space is a special LF topology linear space.
在文〔1〕的基础上 ,用分子网的收敛理论 ,对LF赋准范空间引入闭集的概念 ,给出了LF准范数所确定的LF拓扑 ,并讨论了有关性质 ,证明了LF赋准范空间是一类特殊的LF拓扑线性空间 ,从而 ,为探讨LF拓扑线性空间可LF赋准范化问题打下了良好的基础 。
2) LF topology
LF拓扑学
3) L fuzzy co topology
LF余拓扑
4) LF topological spaces
LF拓扑空间
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。
2.
In this paper,new definition of regular spaces in LF topological spaces are given,some equivalent conditions and good properties of this regular space are proved,such as L-good extension,closed hereditary,each open(closed)set is θ-open(closed)set and so on.
本文在LF拓扑空间 (LX,δ)中给出正则空间的另一种定义 ,证明了这种正则空间具有一些好的性质与等价条件 ,如L -好的推广 ,闭遗传 ,每个开 (闭 )集是θ -开 (闭 )集等。
5) LF topological space
LF拓扑空间
1.
S-countably closed space in LF topological space;
LF拓扑空间的S—可列闭空间
2.
A theorem says LF-open set is still LF-open set in open subspace is proved,and the sufficient and necessary condition for homomorphism between two LF topological space being-continuous is obtained.
提出了r不定序同态、r连续序同态、r开序同态并讨论了它们之间的相互关系,得出了LF-r开集在开子空间中仍是LF-r开集,两个LF拓扑空间之间序同态r连续的充要条件等结论。
3.
This paper has given the following definitions in LF topological space: S-order homomorphic mapping and S-continuity, and discussed the properties and relationship between them.
王国俊教授在文献[1]中引进序同态及序同态映射的连续性定义及其性质,本文把它推广到LF拓扑空间的半开集理论中去,引入几种S-序同态映射和几种S-连续性,并讨论它们的性质及其相互关系。
6) LF-topological space
LF-拓扑空间
1.
S*P-connectedness on LF-topological spaces;
LF-拓扑空间的S*P-连通性
2.
Definition of the a-open set and the a-closed set in LF-topological spaces given,efforts are made to define the a- connectedness by means of a-open sets,following which a probe into some of its basic properties and equivalent depiction is done as well.
在LF-拓扑空间中定义了a-开集和a-闭集,并借助a-开集定义了a-连通,研究了它的一些基本性质和等价刻画。
补充资料：拓扑结构(拓扑)
拓扑结构(拓扑)
topologies 1 structure (topology)
拓扑结构(拓扑)【t哪d哈eal structure(to和如罗);TO-no“orHtlec~cTpyKTypa」，开拓扑(oPen to和fogy)，相应地，闭拓扑(closed topofogy) 集合X的一个子集族必(相应地居)，满足下述J胜质: 1.集合x，以及空集叻，都是族。(相应地容)的元素. 2。(相应地2劝.。中有限个元素的交集(相应地，居中有限个元素的并集)，以及已中任意多个元素的并集(相应地，居中任意多个元素的交集)，都是该族中的元素. 在集合X上引进或定义了拓扑结构(简称拓扑)，该集合就称为拓扑空间(topological sPace)，其夕。素称为.l5(points)，族份(相应地居)中元素称为这个拓扑空问的开(open)(相应地，闭(closed))集. 若X的子集族份或莎之一已经定义，并满足性质l及2。。(或相应地l及2衬，则另一个族可以对偶地定义为第一个集族中元素的补集族. fl .C .A二eKeaH及pos撰[补注1亦见拓扑学(zopolo群);拓扑空l’ed(toPo1O廖-c:，l印aee);一般拓扑学(general toPO】ogy).
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