Employing group and homomorphism to research this relation and reveal algebraic character of uniform space and discussing the relation between topological group and uniformity and providing some conditions for further study.
一致空间作为介于拓扑空间与度量空间之间的一类空间 ,它与拓扑空间和度量空间有着密切的联系 ,从群这个侧面去研究了一致空间的代数特征 ,在一致结构上建立了群结构 ,讨论了它与一致空间和拓扑群的联系 ,即当拓扑中有群结构时 ,便可产生一致结构 ,并给出了一致空间的同态定理 ,这为进一步探讨拓扑空间以及度量空间的关系和结构创造了一定的条
It is proved that a power group on a merizable topological group is metrizable and the way to define a measure on a topological group is described.
证明了可度量化的拓扑群上的幂群是可度量化的，并且具体地给出了在超拓扑群上规定度量的方
A topology on a powergroup on a topological group is given such that the powergroup with the topology is formed a topological group.
在拓扑群上的幂群中规定了一种拓扑，使之亦成为拓扑群，称之为超拓扑群，这是拓扑群的一种提升方式。
In this paper we forthermore study fuzzy topological groups and discuss the relation between open fuzzy set and closed fuzzy set of fuzzy topological groups.
在讨论了Fuzzy拓扑群的一些性质,提出Fuzzy拓扑群下相对闭集的概念之后,笔者继续开展了这方面的工作,得出一个Fuzzy开集和任意一个Fuzzy子集的乘积均为Fuzzy开集等一些结果,并提出Fuzzy群的一种分类方法——Fuzzy群分类定理。
This paper defines a Q-cut set and Q-compactness,has studied some properties of Q-cut set and Q-compactness,making the method of repeated-region get extensive application in QF-topological group.
文献[3]提出了QF-拓扑群的概念,在文献[3]的基础上对QF-拓扑群进行了进一步的研究。
The paper deals with the condition composition convergence and shift composition convergence of probability measures sequence on topological semigroups by the method of partial groupization.
本文用部分群化的方法,研究拓扑半群上概率测度的条件组合收敛性与SHIFT组合收敛性,得到了一些充分条件,并推广了一些组合收敛性结果。
Let S be a locally compact second countable Hausdorff topological semigroup.
设 S是局部紧第二可数 Hausdorff拓扑半群 ,μ∈ P( S)是 S上的概率测度 ,本文利用不变测度证明了卷积幂序列{μn}的一个强极限定理。
In-this paper the definition and theorems of grey topological groups are introduced.
给出了灰拓扑群的定义及有关定理。
A Universal Proposition about the Resonance Theorem for a Family of Additive Functionals on a Topological Group
关于拓扑群上加性泛函族共鸣定理的一个普遍性命题
The uniformly continuous and equicontinuity on topological group and their nonstandard characteristics;
拓扑群上的一致与等度连续的非标准特征及其应用
topological descriptor
拓扑描绘字, 拓扑描述符
The resulting topology is called the Zariski topology.
相应的拓扑叫做Zariski拓扑。
Stability Analysis of Swarms with a Pair of Chains Communication Topology;
具有双链形通信拓扑结构的群集稳定性分析
Research on Neighborhood Topologies and Modifications of Particle Swarm Optimization
粒子群优化的邻居拓扑结构和算法改进研究
Improved PSO algorithm with dynamic directed network topology
一种基于有向动态网络拓扑的粒子群优化算法
Stability analysis of swarms with a communication sub-topology
具有子通信拓扑结构的群集模型的建立
topological differential geometry
拓扑微分几何(学)
Making IDS Adapt to Dynamic Network Topology Based on Ant Algorithms
基于蚁群算法实现入侵检测对动态网络拓扑的适应性
The associated topology is the constructible topology on X.
相应的拓扑是X之上的可构造拓扑。
In this paper, Some results of convolution sequence in a completely simple. Semigroup are excen-sions to Semigroups; S has a completely simple kernel k.
将完全简单半群上概率测度序列淡收敛的某些结果推广到更一般的某类局部紧拓扑半群上。
topology of biequicontinuous convergence
双等度连续收敛的拓扑
non-orientable topological manifold
不可定向的拓扑流形
network topology
网络拓扑,网络布局
locally convex linear topological space
局部凸线性拓扑空间
locally arcwise connected topological space
局部弧连通拓扑空间
A topologic space or surface.
簇拓扑学的空间或面