利用超距空间的基本性质及拓扑空间紧致性的相关理论，给出超距空间为紧致空间的充分且必要条件，并讨论了一些相关性质。
A sufficient and necessary condition in terms of the compactness of super-distance space is given based on the property of super-distance space and the related theory of compactness.
雪茄房在空间上同样延续序列、对称感的造型元素，局部添加细节变化，并配合以细腻、紧致的灯光，打造微妙变化的空间。
With several changes in details added, the cigar room keeps the sequential and symmetrical form. It becomes more subtle after elaborately considering lights exert their influence.
该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形，证明了这类子流形的某些内蕴刚性定理。
In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.
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。
There exists a counterexample showing that a compact topological space is not necessarily a sequentially compact space.
在第二章中，我们讨论紧致度量空间上连续自映射的可链点集的性质，特别是链回归点的可链点集的性质。
In Chapter Two, we discuss properties of the set of chainable points of a continuous self-map fon an impact metric space, especially those of chain recurrent points.
本文对传统的四连杆式紧线器进行了空间力系分析，找到了致其破坏的力学因素。
Spatial force system acting on conventional four-bar linkage type of mounting strain clamps is analysed to find the cause of damage.
设G为局部紧群，在一致连续函数空间U（ G）上，用两种方法证明左不变平均和拓扑左不变的等价性。
On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.
本文给出紧致度量空间逐点伪轨跟踪性质的定义，该定义是伪轨跟踪性质定义的推广。
In this paper, the pointwise pseudo-orbit tracing property is defined on a compact metric space, and it is a generalization of pseudo-orbit tracing property.
设m为一连通的紧致齐性空间。
通过拓扑链回归概念，在非紧致度量空间中引入一类特殊的流———非紧致流，同时给出该类流的一些特性和实例。
According to the concept of topological chain recurrent, a special flow "non-compact flow" is introduced on metric space, some properties and examples of this flow are given.
本文研究了紧致度量空间上连续自映射及连续半流的不变测度。
In this paper, we study the invariant measures of a continuous map and a continuous semi-flow on a compact metric space.
给出了紧致度量空间上连续自映射的周期点集具有局部度量稳定性的必要条件和充分条件。
In this paper, a necessary and a sufficient condition for the continuous map on a compact metric space whose set of period points has the property of locally metric stability is obtained.
首先在没有凸性结构的局部FC-一致空间内引入了非紧性测度和凝聚集值映象概念。
First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FCuniform spaces without convexity structure.
通过对给定共形紧致流形上的L2调和1形式空间的研究，确定了共形紧致流形的结构。
The main purpose of our paper is to understand the structure of conformally compact manifolds by studying the space of L2 harmonic 1-forms on it.
研究局部对称空间中具有常数量曲率的紧致超曲面，给出这类超曲面的一个拼挤定理，改进了相关作者的结论。
The paper discusses on the hypersurfaces in locally symmetric manifolds with constant scalar curvature and gets a pinching theorem which improves the known results.
研究局部对称空间中具有常数量曲率的紧致超曲面，给出这类超曲面的一个拼挤定理，改进了相关作者的结论。
The paper discusses on the hypersurfaces in locally symmetric manifolds with constant scalar curvature and gets a pinching theorem which improves the known results.
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