局部次仿紧空间的一些性质

Some Properties of Locally Subparacompact Space

在次仿紧空间的基础上定义了3种局部次仿紧空间,分别讨论了它们的有关性质.结果表明,次仿紧空间中某些好的性质在相应的局部次仿紧空间中仍成立,从而将次仿紧空间的有关理论进行了推广.

Three kinds of locally subparacompact spaces are defined.Their properties are discussed respectively.Some good properties in sub paracompact spaces are extended to locally subparacompact spaces.So some known results of subparacompactness are generalized.