基本解释：紧开拓扑
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In this paper, we investigate the paracompact property and ■-characteristic, and using the concept of k-net and Paul O’Meara’s results, obtain the descriptions of paracompact property and ■-characteristic of point-compact continuous multifunction space with compact-open topology.本文研究了集值映射空间类上的仿紧性和■特征,利用k网的概念及Paul O’Meara等人的结论,得到了点紧致连续集值映射族依紧开拓扑下的仿紧性和特征的刻画。
In this paper, the relations among the point-compact continuous multifunction spaces under compact-open topology, uniform convergence topology, uniform convergence topology on compacta and metric topology, from a topology space to a metric space, are investigated.本文研究拓扑空间到一致空间上点紧致的连续集值映射空间在紧开拓扑、一致收敛拓扑、紧致处一致收敛拓扑和度量拓扑等之下它们之间的关系,利用诱导映射和嵌入的方法给出了拓扑空间到实直线上点紧致的连续集值映射空间可度量化的若干等价条件。
In this paper,we discuss some properties of the point-compact continuous multifunction spaces with compact-open topology and show that if X,Y are N_0-space,then the point-compact con- tinuous multifunction space with compact-open topology is an N_0-space,which is a generalization of a corresponding result concerning continuous single-valued function spaces proved by E.本文讨论了点紧致的连续集值映射空间在赋予紧开拓扑下的某些拓扑性质,证明了:若X,Y为N_0空间,则X到Y上的点紧致的连续集值映射族依紧开拓扑是N_0空间,从而将Michael的结论推广到更大的映射空间类上。
It is proved that the compact-open topology is the minimum topology on continuous spaces from X to Y.Smithson(1 971 ,1 973 )首先将点态收敛拓扑 ,紧致开拓扑和一致收敛拓扑推广到集值映射空间中去 。
,compact *-topology,was introduced.在集值映射空间引入了新的拓扑结构,即紧*拓扑。
In this paper,we introduce the concept of compact quotient mapping and compact quotient topology,discuss systematically their basic properties and establish some interesting results.引进了紧商映射与紧商拓扑的概念，系统地讨论了它们的性质，得到若干有趣的结果。
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。
The Extremal Monomorphism in FHaus and the Compactness of Lawson Topology in Dcpo;FHaus拓扑范畴的超单态与dcpo上lawson拓扑的紧性
L-Fuzzy N-compact Quotient Mapping and L-Fuzzy N-compact Quotient TopologyL-Fuzzy紧商序同态与L-Fuzzy紧商拓扑
Local Paracompactness and δ-connectedness in L-topological Spaces;L-拓扑空间的局部仿紧性及δ-连通性
On Compectness in L-fuzzy Topological Space;L-fuzzy拓扑空间中的S-紧性
ON σ -N -COMPACTNESS IN L -FUZZYTOPOLOGICAL SPACES;L-fuzzy拓扑空间中σ-良紧性
Several Paracompactness in L-Fuzzy Topological SpaceL-Fuzzy拓扑空间中的几种仿紧性
The Study on Normal-Closed、Compactness、Separation in Topology拓扑学中正规闭性、紧性、分离性的研究
Note on Core Compactness of Scott Open Filters Topology关于Scott开滤子拓扑核紧性的注记
θ-pairwise Compactness in L-bifuzzy Topological SpacesL-双fuzzy拓扑空间中的θ-配紧性
A Class of Topological Spaces Which Contain σ-Compact Spaces and Separable Spaces;一类包含σ紧空间和可分空间的拓扑空间
Relative Separation and Relative Compactness in L-Fuzzy Topological Spaces;L-fuzzy拓扑空间中的相对分离性与相对紧性
The Almost Periodicity、Chaotic Property and Topological Ergodicity紧致系统的几乎周期性、混沌性与拓扑遍历性
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。
Utra-F_1 Compactness and Local Ultra-F_1 Compactnessin Induced I(L)-Fuzzy Topological Spaces;诱道的I(L)-Fuzzy拓扑空间的超F_1紧性和局部超F_1紧性
topological differential geometry拓扑微分几何(学)
The associated topology is the constructible topology on X.相应的拓扑是X之上的可构造拓扑。
