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There is a simple way of associating a topological space with a graph. 有一种把一个拓扑空间同一个图联系起来的简单的方式。
Defines the bound operation differ from the thesis [5] and applies the method to build up the topological space. 本文定义了不同于文[5]的边界运算,并应用这种方法建立了拓扑空间。
Two ways of introducing commutative products for cochains on a topological space are developed. 本文对于一般拓扑空间与有1交换环,用两种方式定义上链的可交换乘法。
Metric space is a specific topological space, and it is an important process to understand topological space. 摘要度量空间是一类特殊的拓扑空间，并且它是理解拓扑空间的一个重要过程。
The relation between the rough sets and topological space is studied and topological space properties of rough sets on general relation are discussed. 研究了粗糙集和拓扑空间的关系。讨论了一般关系下粗糙集所诱导的拓扑空间的性质。
Based on several examples, this paper introduces several kinds of particular topological space construction, which brought a series of conclusion. 摘要通过若干例题介绍了几种典型的拓扑空间构造法，并带来一系列的结论。
In this paper, some related problems on the topological space are discussed and the regular open separation is obtained. 在此基础上，研究和讨论了拓扑空间的分离性问题，获得正则开分离性的一些结果。
The method herein used is of creativeness.The conclusion reached is also of real plenitude to the theoretical basis about topological space. 所采用的方法具有一定的创新性，所得结论丰富了拓扑空间的理论基础。
The concepts of connected unascertained subset, the connectedness of unascertained topological space and connected component are introduced and some related theorems obtained. 给出连通未确知子集的定义和相关的定理；未确知拓扑空间连通性的定义和定理，以及连通分支的定义、理。
In the first part, we have some advanced argument on the properties of the A-topology for an Archimedean Riesz space E and the properties of the topological space E equipped with the A-topology. 第一部分主要研究了A-拓扑以及A-拓扑空间的一些性质,得到了两个主要结论:(1)若Archimedean Riesz空间E和非空子集A(?)
It is proved, under MA+CH, that the inverse image of a normal space under a two to one closed mapping is not necessarily normal and that each topological space with a strictly positive regular finite Borel measure has calibre 1. 在MA+7CH下证明了:1.;正规空间在有限到一闭映射下的逆象未必正规; 2
Under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method. 摘要本文用某种同伦方法，借助于一些适当的变换，讨论了有序的局部凸拓扑线性空间中集值凝聚映象方程的正解问题。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence. 摘要讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
Finally an extension of Alexander SubbasesTheorem is given in L-bifuzzy topological spaces. 给出了Alexander子基定理在L-双fuzzy拓扑空间中的推广。
ABSTRACT: In this paper, we introduce some new classes of nonex-pansive mappings in T_1 topological spaces. 本文在T_1拓扑空间中引入了几类新的非扩张型映射。
This paper defines homology monomorphism, homology epimorphism, homology regular morphism in the category of topological spaces with point by using homology functor. 摘要利用同调函子，在点标拓扑空间范畴中定义了同调单态、同调满态、同调正则态射等概念。
New coincidence theorems for families of set valued mappings defined on noncompact product topological spaces without linear structure are proved. 对定义在无线性结构的非紧乘积拓扑空间上的集值映象簇证明了新的重合点定理.
In L-fuzzy topological spaces, ultra separation axioms were defined, some characterization of them were gvien, and their properties were discussed. 摘要在L-拓扑空间中，定义了超分离性，并给出它的一些等价刻画，讨论了它们的性质。
Abstract: This paper defines homology monomorphism, homology epimorphism, homology regular morphism in the category of topological spaces with point by using homology functor. 文章摘要: 利用同调函子，在点标拓扑空间范畴中定义了同调单态、同调满态、同调正则态射等概念。
In this paper,the characterizations and the topological properties of the nearly nice compactness in L-fuzzy topological spaces are systematically studied. 本文系统地研究了L－fuzzy拓扑空间中近似良紧性的特征及其拓补性质。