紧空间 sigma compact space
compact space
- 摘要给出了强紧空间的刻划,讨论了强紧空间上的映射性质。
The authors give the characteriration on strongly compact spaces, and discuss some mapping properties on strongly compact spaces. - 本文建立了仿紧局部ψ空间的闭映象、某些序列覆盖L映象的内在特征的一般性定理,推广了仿紧局部紧空间映象等的若干结论。
In this paper we establish some general theorems of internal characterizations of closed images and some sequence-covering L-images of paracompact local ψ-spaces, which generalizes a few conclusions on the images of paracompact locally compact spaces and so on. - 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.结果表明强仿紧空间中某些好的性质在相应的局部强仿紧空间中仍成立,从而将强仿紧空间的有关理论进行了推广.
Three kinds of locally strongly paracompact spaces are defined.Their properties are discussed respectively.Some good properties in strongly paracompact spaces are extended to locally strongly paracompact spaces and some known results of strongly paracompactness are generalized.