1) generalized topological Molecular Lattice
广义拓扑分子格
1.
This paper explains a relationship between the category TOP of general topological spaces and the category GTML of generalized topological Molecular Lattice.
讨论了一般拓扑空间范畴与广义拓扑分子格范畴间的关系 ,同时指出了 LF拓扑空间范畴是 L-拓扑均衡支撑分子格范畴的骨
2) topological molecular lattices
拓扑分子格
1.
PS-T~*-separation Axioms in Topological Molecular Lattices;
拓扑分子格的PS-T~*分离公理
2.
S Compactness and S Inferior-compactness in Topological Molecular Lattices;
拓扑分子格的S紧性和S次紧性
3.
ST~* Separation Axioms in Topological Molecular Lattices;
拓扑分子格的 ST~* 分离性公理
3) Topological Molecular Lattice
拓扑分子格
1.
s Connectedness on topological molecular lattices;
拓扑分子格的s-连通性
2.
Inverse limit of inverse system in category of topological molecular lattices;
拓扑分子格范畴中的逆系统及其逆极限
3.
In this paper the authors choose an appropriate closure operation and give a closure representation of η s finest accompanied co-topology F(η) for a given topological molecular lattice (L,η).
该文选用恰当的闭包算子 ,对给定的拓扑分子格 (L,η)中 η的最细伴随余拓扑 F(η)进行刻划 ;其次刻划了拓扑分子格中无处稠密元 ,讨论无处稠密元、半闭包算子和半内部算子之间的关系 ,特别引入了半同胚的概念 ,并证明无处稠密性是半同胚性质。
4) generalized topology
广义拓扑
1.
To discuss the basic feature of the road network in city roundly and detailedly,the paper proposes the modeling method for the road network in city which bases on feature and generalized topology,meanwhile it provides the prohibition restraint,the basic parameters and the expression method for describing the relationship between the organization and the road.
本文在比较全面、详细地讨论道路网基本特性之后,结合路口分岔特征定义,给出了基于特征与广义拓扑的道路网建模,及其禁忌约束、基本参数和机构同道路之间关系的表示方法。
5) symmetric topological molecular lattices
对称拓扑分子格
1.
Countable compactness in symmetric topological molecular lattices;
对称拓扑分子格中的可数紧性
2.
In this paper,the concepts of nine quasi-Lindelof symmetric topological molecular lattices are introduced.
在对称拓扑分子格中引入九种准Lindel f性的概念 ,着重指出了它们在极不连通的对称拓扑分子格中的内在联系。
3.
Concepts of direct sum of symmetric topological molecular lattices are given characterizations of direct sum of symmetric topological molecular lattices are given.
文章给出了对称拓扑分子格的直和概念,给出了拓扑分子格的直和的特征,证明了对称拓扑分子格的分离性Ti(i=-1,0,1,2)及可数性CⅠ,CⅡ是可和性质。
6) power topological molecular lattice
幂拓扑分子格
1.
Four categories, power molecular lattice category, Lbase power molecular lattice category, power topological molecular lattice category and Lbase power topological molecular lattice category, were defined.
引入幂分子格范畴、L底幂分子格范畴、幂拓扑分子格范畴和L底幂拓扑分子格范畴。
2.
In this paper,we introduce the concepts -product and product of power topological molecular lattices and kernel of power topological molecular lattice and the following conc1usions are obtained: the weakly induced property and weakly full-layer property are -productable and the kernel of -product equals to the product of kernels for power topological molecular lattices which are weakly induced.
引入形如（ＬＸ，η）的拓扑分子格（称为幂拓扑分子格）族的“积”和“积”以及幂拓扑分子格的“核”（核是分明拓扑空间），证明了幂拓扑分子格的分明性、弱诱导性和弱满层性都是可积性和可积性，对弱诱导的幂拓扑分子格族，积之核等于核之积。
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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参考词条