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This text gives a research on some certain convergence in locally convextopological space, and a discussion on compactness of the sequence andCauchy sequence.

然后，文中对某种确定的收敛下的局部凸拓扑空间进行了研究，并对序列的致密性， Cauchy列进行了探讨。

In the end of this text gives a description about the compactness of somecertain locally convex topological space with convergence and the completenessproblem.

某种确定的收敛下的局部凸拓扑空间以及凸拓扑下的紧性，完备性问题，在文章的最后给与了阐述。

As the basis of the thesis, measure theory and dimension concept including several technical lemmas are presented in the second chapter.

第二章概述了拓扑空间中的测度理论和维数概念，包括一些技术性引理，是全文的基础。

It′s topological properties are studied,three equivalent conditions of which topological space is discrete space and one equivalent condition of which topological space is mediocre space are abtained.

以离散参数马尔可夫链状态空间E为集合定义该集合上的一个拓扑T，研究它的拓扑性质，得到拓扑空间是离散空间的三个等价刻画以及是平庸空间的一个等价刻画。

Secondly,given a fibrewise equivalence relation on the topolgy space we can get its quotient space.

其二是，我们都知道在拓扑空间中定义一个等价关系则能得到其相应的商空间。

"Two- and three-dimensional Euclidean spaces are metric spaces, as are inner product spaces, vector spaces, and certain topological spaces."

二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间

The optimality conditions of vector extremum problems with generalized inequality constraint are obtained by the theorem in ordered linear topological space.

运用此定理，在序线性拓扑空间中获得了带广义不等式约束的向量极值问题的最优性条件。

A new Fan-Browder type fixed point theorem is proved under noncompact setting of general topological spaces.

在非紧的一般拓扑空间中证明了一个新的Fan-Browder型不动点定理。

This course will focus on some fundamental knowledge and methods of general topology and algebraic topology, including the theory of topological spaces, continuous maps, fundamental group, the theory of covering spaces and simplicial homology and so on.

本课程将着重介绍点集拓扑学和代数拓扑学的一些基本知识和基本方法，包括拓扑空间理论、连续映射、基本群、覆盖空间理论和单纯同调群理论等。

If the dynamicmapping thus determined is continuous,the two topological spaces is said to be homeomorphic and their respective energy shellsdo have the same dynamic property of being subdividable into invariant subspaces according to the same set of quantum num-bers.

如果这样决定的动力学映射是连续的，它就是两个拓扑空间之间的同胚映射，而两个系统的能量壳有同样的动力学性质，即可以按同一套量子数划分不变子空间。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐