Some good properties in locally compact spaces are extended to locally paracompact spaces.
结果表明局部紧空间中某些好的性质在相应的局部仿紧空间中仍成立,将紧性进一步推广,使紧理论更加丰富。
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。
Properties of sub strongly and sub weakly paracompact space;
亚强和亚弱仿紧空间的一些性质
In the first part, by using the concept of ασ-paracompact subsets, we give a sufficient condition for a regular inverse image of a paracompact space under a continuous closed mapping to be paracompact.
在本文的第一部分，首先我们利用ασ仿紧子集的概念，给出了在正则空间条件下，仿紧空间在连续闭映射下的逆象是仿紧空间的一个充分条件。
In this paper,we investigate Fσ-Hereditary properties of S-paracompact spaces,and prove that open Fσ-subspaces of normal S-paracompact spaces are S-paracompact.
讨论了S-仿紧空间的开Fσ-遗传性,证明了正规S-仿紧空间的开Fσ-子空间是S-仿紧的。
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
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
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
On the Tychonoff product property of hereditarily ultraparacompact space
关于遗传超仿紧空间的Tychonoff乘积性质
Local Paracompactness and δ-connectedness in L-topological Spaces;
L-拓扑空间的局部仿紧性及δ-连通性
CL-Images in Paracompactly Local Cosmic Spaces;
仿紧局部cosmic空间的CL-映象
Several Paracompactness in L-Fuzzy Topological Space
L-Fuzzy拓扑空间中的几种仿紧性
κ-Paracompactness of Product of Uncountable GO-spaces
不可数多个GO-空间乘积的κ-仿紧性
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
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
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
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。