紧空间(compact space)亦称紧致空间.最重要的一类拓扑空间.若拓扑空间X的任意开覆盖都有有限子覆盖,则称X为紧空间。
... sigma algebra 代数 sigma compact space 紧空间 sigma compactness 紧性 ...
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首先证明了强次亚紧空间的一个逆极限定理;
This paper first prove an inverse limit theorem of strongly submetacompact spaces;
次中紧空间在闭的紧覆盖映射下的象是次中紧的;
The image if a submesocompact space under a closed and compact-covering mapping is submesocompact.
在强仿紧空间的基础上定义了三种局部强仿紧空间,分别讨论了它们的有关性质。
Three kinds of locally strongly paracompact spaces are defined. Their properties are discussed respectively.
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