topological space

1. Gap ( p) ing of joints locally arcwise connected topological space
   连接间隙，接缝间隙局部弧连通拓扑空间
2. Application of the maximum ( or minimum) theorem of topological space to biology
   拓扑空间的最大（小）值定理在生物学中应用
3. Locally convex linear topological space
   局部凸线性拓扑空间
4. In this paper the definition of semi-linear topological space and locally convex semi-linear topological space is given.
   本文定义了半线性拓扑空间及局部凸半线性拓扑空间，研究了这些空间的性质。
5. Description of Topological Space and Motion Rules Based on Self-repair in Self-reconfigurable Robots
   自重构机器人系统自修复的拓扑空间及运动规则描述
6. 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。
7. The mathemationcal formulation is based on a locally convex topological space for arbitrage freeness, approximate arbitrage freeness and no free lunches.
   本文研究具有摩擦的证券市场中资产定价，即在局部凸拓扑空间中弱与强无套利、弱与强近似无套利及弱与强没有免费午餐。
8. 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。
9. 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。
10. This paper has given the following definitions in LF topological space: S-closed space, and discussed their properties.
    在LF拓扑空间中引入S-闭空间的概念，并给出它的若干性质。
11. In this paper, the structures of the unstable manifold of a continuous self-mapping on a completely densely ordered linear ordered topological space is discussed.
    分别应用开覆盖和分离集、生成集给出了紧致空间上的连续自映射序列的原像熵的定义。
12. Features of Mapping of a Unstable Manifold on Linear Ordered Topological Space
    线性序拓扑空间上不稳定流形的映射性质
13. Locally arcwise connected topological space
    局部弧连通拓扑空间
14. About Rotation Number and Expanding Map of Homeomorphism Onto Itself for Torus in Topological Space
    拓扑空间中环面自同胚的旋转数及扩张映射
15. The topological space of the types of the first order theory is established. The basic properties of the above space are proved.
    在一阶理论的型中建立了拓扑空间，证明了该拓扑空间的基本性质；
16. Neighborhood compactness is extended and para-H-closed and para-s-closed of topological space are dealt with in a unified pattern.
    推广了邻域紧性和统一处理拓朴空间的仿H-闭性及仿S&闭性等；同时讨论了仿邻域紧空间的性质及在映象下的保持性问题。
17. 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。
18. A non constructive example of Hausdorff topological space with non discreteness and non sequential compactness is discussed.
    介绍了产生非离散非列紧Hausdorff空间的非构造性例子的问题。
19. We obtain that under the normality of product of a topological space and a GO-space and the normality of product of the topological space and a regular uncountable cardinal are equivalent.
    论证了在一定条件下，一个拓扑空间和一个GO-空间乘积的正规性与这个拓扑空间和一个正则不可数基数的乘积正规性是等价的；
20. 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。
21. ( I, p)-homotopy inverse and group homotopy inverse are defined in this paper on categories of topological space with base point. Their existence and properties are also presented.
    该文在点标拓扑空间范畴中引进了（i，p）-同伦逆和群同伦逆的概念，并讨论了它们存在的条件和性质。
22. 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。
23. In this paper we investigate the generalization of connectivity theory of topological space in topological Boolean lattice.
    本文将拓扑空间上的连通性推广到一般拓扑Boolean格上，从而否定了文献[2]里提到的一个猜测。
24. A new notion of finite continuous topological space ( in short, FC-space) without convexity structure was introduced.
    首先引入了无凸性结构的有限连续拓扑空间（简称FC空间）新概念。
25. The Metric Space is a special Topological Space.
    度量空间是一种特殊的拓扑空间。
26. 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。
27. The topological space of parallel mechanisms is defined by using topological theory, and their topological characteristics are analyzed.
    引入拓扑学理论，定义了并联机构的拓扑空间，分析了并联机构的拓扑特征；
28. Compactness and property of Baire in lf-sum topological space
    LF和拓扑空间的紧性和Baire性质
29. A topological space based on LI-ideals of a lattice implication algebra is constructed, and its topological properties, such as separability, compactness and connectedness are discussed.
    将格蕴涵代数中全体LI-理想构成一个拓扑空间，并讨论了其拓扑性质，如可分离性、紧致性和连通性等。
30. The open sets of the rough topological space are defined sets in the references currently.
    目前文献中所建立的粗糙拓扑空间，其中的开集是精确集。

noun

1. (mathematics) any set of points that satisfy a set of postulates of some kind
   1. assume that the topological space is finite dimensional

   Synonym:    mathematical space