1) locally countably compact space
局部可数紧空间
2) paracompact locally separable spaces
仿紧局部可分空间
1.
In this pape,we obtain some properties,mapping theorems, as well as metrization theorems on paracompact locally separable spaces.
探讨仿紧局部可分空间的一些性质，获得了两个可度量化定理，建立了仿紧局部可分空间的各类序列覆盖Ｌ－映象的特征。
3) locally compact spaces
局部紧空间
1.
Regularity is a very important concept in the measure theory of locally compact spaces.
在局部紧空间上的测度论中,正则性是一个比较重要的概念。
2.
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。
4) Locally compact space
局部紧空间
5) locally countable compact
局部可数紧
1.
We give some concepts of different locally countable compact space and locally countable paracompact space,discuss their natures,and give some results as every closed subset in countable paracompact space is countable paracompact )If topological space is a neighborhood open locally countable paracompact space, is any open set of,then is a neighborhood open locally countable paracompact subspace.
文章给出了几种类型局部可数紧空间和几种类型局部可数仿紧空间的概念,讨论了它们的一些性质,给出可数仿紧空间的每一闭子集都是可数仿紧的;若拓扑空间X是邻域开包局部可数仿紧空间,A是X中任一开集,则A是邻域开包局部可数仿紧子空间等一些有益的结果。
6) paracompact locally compact spaces
仿紧局部紧空间
1.
The corresponding properties of paracompact locally compact spaces are discussed.
引入sc-映射,讨论了仿紧局部紧空间sc-映象的特征,完善了仿紧局部紧空间的映象理论。
补充资料：局部
一部分；非全体：～麻醉 ㄧ～地区有小阵雨。
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