在聚点具有σ局部有限网的空间

The Spaces with a Network Which is σ-locally Finite at Accumulation Points

讨论在聚点具有σ局部有限网的空间的性质,通过在聚点集具有的集族性质获得了σ空间,空间和度量空间的新刻画,推广了林福财等关于聚点集族的基性质的一些结果.

It discuss that the properties of spaces with a network which is σ-locally finite at accumulation points, and obtain some new characterizations of σ-spaces,-spaces and metric spaces by the properties of collections at accumulation points, which improve some results of Lin Fucai et al. about the properties of spaces with a special base at accumulation points.