TY - JOUR T1 - $s$-Sequence-Covering Mappings on Metric Spaces AU - Zhou , Xiangeng AU - Liu , Li JO - Journal of Mathematical Study VL - 1 SP - 54 EP - 66 PY - 2022 DA - 2022/01 SN - 55 DO - http://doi.org/10.4208/jms.v55n1.22.04 UR - https://global-sci.org/intro/article_detail/jms/20193.html KW - Statistical convergence, $s$-sequence-covering mappings, 1-$s$-sequence-covering mappings, compact mappings. AB -

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.