中文摘要：

具有σ局部有限sn网的空间称为sn可度量空间，本文利用紧覆盖映射、点星网、CF族的概念，给出了sn可度量空间的新刻画。

英文摘要：

A space is called an sn-metrizable space if it has a a locally finite sn-network. In this paper, we give some new characterizations on sn-metrizable spaces, using the concepts of compact-covering mappings, point-star networks and CF families.