The connectedness of grey topological space is studied.
研究灰拓扑空间的连通性。
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。
The concept of -generalized convex set-valued map is defined in linear topological space.
在线性拓扑空间中，定义了-广义锥凸集值映射的概念。
Aim to study the existence of the extreme points of a compact set in linear topological space.
目的研究线性拓扑空间中紧集端点存在性问题。
By using a known coincidence theorem, a minimax inequality is established in general topological space.
利用已知的重合点定理，在一般拓扑空间内得到一个极大极小不等式定理。
With respect to the S-arc connectedness in topological space, some new conclusions were proposed in this paper.
针对拓扑中s -弧连通性问题，给出了一些新的结论。
There exists a counterexample showing that a compact topological space is not necessarily a sequentially compact space.
有反例表明一个紧致拓扑空间不一定是序列紧致的拓扑空间。
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。
It is only required that the second space is partly ordered topological space and B(D) possess the relatively compactness.
只要求第二空间是半序拓扑空间，B（D）是相对紧集，所得结果推广了近期相关结论。
The topological space of the types is established, and the basic properties of the topological space of the types are proved.
建立了型的拓扑空间，并证明了该空间的一些基本性质。
This article has introduced topological space Xs property of sequencable convergence and proved that this property is quotient property.
引进拓扑空间x的可序列收敛性质，证明了这一性质是可商的性质。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
其次，为使此定理的应用变得直接简便，我们还给出了关于拓扑空间（组）之间同伦等价的几个命题。
It has been proved that the nature of independence exists in the axiomatic system of Group, Euclidean space, distance space and topological space.
本文证明了：群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。
Based on several examples, this paper introduces several kinds of particular topological space construction, which brought a series of conclusion.
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。
Since both general topological space and fuzzy topological space are special cases of topological molecule lattice, these results can be widely used.
由于一般拓扑空间及模糊拓扑空间都是拓扑分子格的特殊情况，所以，这些结果具有比较广泛的适用性。
In the first chapter, the formation of topological space theory is simply introduced, as well as some knowledge about covering property and hyperspaces.
本文在第一章中简单的介绍了拓扑空间理论的形成，以及与覆盖性质、超空间相关的一些的知识。
Some new generalized L-KKM type theorems are proves in a topological space with property (h), furthermore, matching theorems with open cover are obtained.
在具有(H)性质的拓扑空间中证明了一些新的广义l -KK M型定理，并进一步获得了关于开覆盖的匹配定理。
This type of Topological space is GO-space or their products. The special ordinal structure of GO-space provide people extensive space to imagine and plot.
这类空间就是GO -空间或其乘积，GO -空间特殊整齐的序结构给拓扑学家们提供了广泛的想象和构思的空间。
In fuzzy topological space, some sets are not closed sets, but they display some characteristics of clsed sets on some stratiform, if is so-called stratiform closed set.
在模糊拓扑空间中，有些集合本身并不是闭集，但在某些层次上它却表现出闭集的特性，这就是所谓的层次闭集。
In this paper the application of homotopy equivalence transformation of topological space sets to the topological classification of states and defects in ordered media is discussed.
该文论述了拓扑空间(组)的同伦等价变换在有序介质状态和缺陷的拓扑分类中的应用问题。
The concepts of a net of LF sets and its convergence in an LF topological space are introduced, their properties are systematically studied, and more interesting results are obtained.
在LF拓扑空间中引入LF集网及其收敛性等概念，系统地研究了它们的性质。
Molecular net, ideal S-limit point and S-accumulation point are introduced into LF topological space, and the condition and property of S-convergence and S-accumulation are discussed.
在LF拓扑空间中引进分子网和理想的S极限点和S -聚点的概念，并讨论s -收敛与S -聚于的条件及其性质。
Based on the existent knowledge, some properties of the relative topological space and the weak J -space are summarized and generalized in this thesis. And some new results are proved.
本论文主要在前人的研究基础上，对相对拓扑空间和弱j -空间的性质作了总结和推广，得到了一些新的结论。
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.
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。
The paper introduces the concept of weak consistent raised and the partial weak consistent raised in the partial facet topological space, and produces several weak raised nature in the space.
在局部凸线性拓扑空间引入弱一致凸和局部弱一致凸的概念，并给出该空间上的几个弱凸性质。
It proved that extended real topological space is compactification space of real topological space added to two points. It pointed out that there exists compactification space added more points.
证明了扩张实数空间是实数空间的加两点紧化空间，指出了存在着加更多点的紧化空间。
In this paper, according to inversion set and its topological space definition, we studied some mathematical definition and their relevant theorem of decision theory, and apply theory to practice.
将决策学中的一些概念推广到反演集合拓扑空间中，给出一些相关的定义、定理及其在实际工作中的应用。
In this paper, concepts of Pre-semiopen sets, Sub-strong semiopen sets and Strong semiopen sets were introduced in topological space in a new way, and their relations and properties were discussed.
从一个新的角度引入了拓扑空间中的拟半开集、次强半开集、强半开集等概念，对这些概念之间的关系及其性质进行了讨论。
Through discussing the separation axiom of topological space, we can get the relation-chain of separation axioms. Then the paper lists some examples which are not included in each separation axiom.
通过对拓扑空间上分离公理之间的讨论得出公理关系链，主要给出了各分离公理不能包含的例子。
Through discussing the separation axiom of topological space, we can get the relation-chain of separation axioms. Then the paper lists some examples which are not included in each separation axiom.
通过对拓扑空间上分离公理之间的讨论得出公理关系链，主要给出了各分离公理不能包含的例子。
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