本文分别给出局部可分度量空间的强序列覆盖（1序列覆盖，2序列覆盖）。映象的新刻画，还分别给出拓扑空间是局部可分度量空间的序列覆盖（紧覆盖）s映象的一个充分条件．

This paper gives some new characterizations of images of locally separable metric spaces under strong sequence-covering (resp. 1-sequence-covering or 2-sequence covering)s-mappings, and a sufficient condition for a space to be a sequence-covering (resp. compact-covering) s-image of a locally separable metric space.