$s$-Sequence-Covering Mappings on Metric Spaces

$s$-Sequence-Covering Mappings on Metric Spaces

Year:    2022

Author:    Xiangeng Zhou, Li Liu

Journal of Mathematical Study, Vol. 55 (2022), Iss. 1 : pp. 54–66

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Mathematical Study, Vol. 55 (2022), Iss. 1 : pp. 54–66

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Statistical convergence $s$-sequence-covering mappings 1-$s$-sequence-covering mappings compact mappings.

Author Details

Xiangeng Zhou

Li Liu