基本解释：紧空间
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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 SpaceL-smooth相对r-良紧空间
L-smooth Relative r-F compact SpaceL-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 SpaceDirichlet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 SpaceBMOA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。
