$s$-Sequence-Covering Mappings on Metric Spaces

Abstract

In this paper, we introduce and study $s$-sequence-covering mappings and 1-$s$-sequence-covering mappings, obtain some characterizations of $s$-sequence-covering and compact images of metric spaces, and prove that every $s$-sequence-covering and compact mapping in first-countable spaces is a 1-$s$-sequence-covering mapping.