Geodesic
Notes on $cfp$-covers
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 295-306

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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.
Classification : 54C10, 54E18, 54E40
Keywords: $cfp$-covers; compact-covering maps; metrizable spaces; $g$-metrizable spaces; $\sigma$-maps; $mssc$-maps 
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Lin, Shou; Yan, Pengfei. Notes on $cfp$-covers. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 2, pp. 295-306. http://geodesic.mathdoc.fr/item/CMUC_2003__44_2_a7/