Determining compact space by covering of local base H(X) representing all the compact spaces no empty on X dominating.
由局部基的覆盖来刻划紧空间 ,用H(X)表示X中的全体非空紧集构成的集族 ,在此集族中定义豪斯道夫距离 ,连续映射的定理在分形空间成立。
The concepts of subcompact spaces are introduced, which is weaker than compactness.
定义了次紧空间的概念,它是一类弱于紧性的拓扑空间。
The interrelation of S-compacteness,countable S-compactness,subet S-compactness and se- quence S-compactness is discussed and a new results is obtained:Let X be a countable S-compactness,if (1) X is a first S-compactness.
讨论了 S-紧空间、可数 S-紧空间、子集 S-紧空间和序列 S-紧空间之间的关系,并给出了一个新结果:若可数 S-紧空间 X 满足(1)第一 S-可数性公理,(2)具有有限半开集可交性,则 X 是序列 S-紧空间。
The concepts of subcompact spaces are introduced, which is weaker than compactness.
定义了次紧空间的概念,它是一类弱于紧性的拓扑空间。
In this paper, a series of properties of paracompact space are given.
本文给出了仿紧空间的一系列性质，着重证明了仿紧空间与紧空间的乘积仍为仿紧空间，并举例说明了两个仿紧空间的乘积则不一定是仿紧的。
This paper gives the depiction of Lindel o¨ff space and paracompact space.
给出了Lindel o¨ff空间、仿紧空间用基做的刻画,并通过定义弱A2空间,给出并证明了弱A2空间中可数紧致、可数仿紧致空间用基刻画的条件。
A first countable,countably paracompact T2 and strictly subquai-paracompact space is the paracompact space under the PMEA.
给出了复盖性质的如下结果：（1）具有可数高度的δθ-加细空间是弱δθ-加细空间；（2）空间X是亚紧的当且仅当它是几乎离散可膨胀且弱-可加细；（3）在PMEA假设下，第一可数仿紧T2狭义次拟仿紧空间是仿紧空间。
L-smooth Relative r-N Compact Space
L-smooth相对r-良紧空间
L-smooth Relative r-F compact Space
L-smooth相对r-F紧空间
Properties and Characterization of Countably Mesocompact Spaces and Locally Mesocompact Spaces;
可数meso紧空间、局部meso紧空间的性质与刻画
Tychonoff Products of σ-ortho Compact Space and Characterizations of Base-Countably Paracompact Space;
σ-ortho紧空间的乘积和基可数仿紧空间的刻画
The Note on Submesocompactness and Sequential Submesocompactness;
关于次中紧空间与序列次中紧空间的注记
The Mapping Property of Mesocompact Space and Hausdorff Space;
Meso紧空间、Hausdorff空间的映射性质
A Class of Topological Spaces Which Contain σ-Compact Spaces and Separable Spaces;
一类包含σ紧空间和可分空间的拓扑空间
Study on the Properties of Ortho-compact and Base-ortho-compact Spaces;
ortho紧、基-ortho紧空间的性质研究
A Study on S-paracompact Spaces and α-expandable Spaces;
关于S-仿紧空间及α-可膨胀空间性质的研究
Study on (sub) Sequentially Mesocompact Spaces and Hyperspaces;
关于（次）序列中紧空间和超空间的一些研究
The authors give the characteriration on strongly compact spaces, and discuss some mapping properties on strongly compact spaces.
给出了强紧空间的刻划，讨论了强紧空间上的映射性质。
Mapping Theorems on Submeocompact Spaces and Expansive Maps on Non-compact Metric Spaces;
关于submeso紧空间的映射定理和非紧度量空间上的可扩映射
Studies on the Properties of Local-strongly Paracompact Space and Base-countably Paracompact Space;
局部强仿紧、基—可数仿紧空间的性质研究
compact perturbations of hyperinvariant subspace
超不变子空间的紧摄动
Compact Operators on Dirichlet Space
Dirichlet空间上的紧算子
As we move into the Fourth Dimension, time is already compacting.
当我们进入第四度空间，时间已经紧密。
Compact Weighted Composition Operators from BMOA Space to α-Bloch Space
BMOA空间到α-Bloch空间上加权复合算子的紧性
Flexible tubing can assist in installation in tight space.
柔性管道便于在紧凑的空间安装。