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Keywords:
$cfp$-covers; compact-covering maps; metrizable spaces; $g$-metrizable spaces; $\sigma$-maps; $mssc$-maps
$cfp$-covers; compact-covering maps; metrizable spaces; $g$-metrizable spaces; $\sigma$-maps; $mssc$-maps
Summary:
The main purpose of this paper is to establish general conditions under which $T_2$-spaces are compact-covering images of metric spaces by using the concept of $cfp$-covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of $g$-metrizable spaces by compact-covering $\sigma$-maps and $mssc$-maps.
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