Zhaowen Li, Shouli Jiang

On $msk$-Images of Metric Spaces

Abstract:
In this paper, we introduce the concept of $msk$-mappings and establish relationships between spaces with $\sigma$-compact-finite $cfp$-networks ($cs$-networks, $cs^\ast$-networks) and metric spaces by means of some covering mappings and $msk$-mappings.

Keywords:
$cfp$-networks, $cs$-networks, $cs^\ast$-networks, $msk$-mappings, compact-covering mappings, sequence-covering mappings, sequentially-quotient mappings.

MSC 2000: 54C20, 54E40