$s$-Sequence-Covering Mappings on Metric Spaces

Authors

  • Xiangeng Zhou Department of Mathematics, Ningde Normal University, Ningde 352100, China
  • Li Liu Department of Mathematics, Ningde Normal University, Ningde 352100, China

DOI:

https://doi.org/10.4208/jms.v55n1.22.04

Keywords:

Statistical convergence, $s$-sequence-covering mappings, 1-$s$-sequence-covering mappings, compact mappings.

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.

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Published

2022-03-09

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Issue

Vol. 55 No. 1 (2022)

Section

Articles

How to Cite

$s$-Sequence-Covering Mappings on Metric Spaces. (2022). Journal of Mathematical Study, 55(1), 54-66. https://doi.org/10.4208/jms.v55n1.22.04