本文给出了局部可分度量空间的1序列覆盖s象，2序列覆盖s象，强序列覆盖s象，序列覆盖s象及子序列覆盖s象的内在刻划．从而使关于对度量空间的各类s象的内在刻划方面的研究更趋于完整．

In this paper, the 1-sequence-covering s-image, 2-sequence-covering s-image,strong sequence-covering s-image, sequence-covering s-image, and subsequence-coverings-image of locally separable metric space are characterized. Thus make the study ofs-image on metric space more completely.