Geodesic
Remarks on sequence-covering maps
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 4, pp. 645-650.

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In this paper, we prove that each sequence-covering and boundary-compact map on $g$-metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in \cite{Lin.F.C.and.Lin.S-2011}.
Classification : 54C10, 54D65, 54E40, 54E99
Keywords: $g$-metrizable space; weak base; $sn$-network; compact map; boundary-compact map; sequence-covering map; 1-sequence-covering map; weak-open map; closed map 
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Tuyen, Luong Quoc. Remarks on sequence-covering maps. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 4, pp. 645-650. http://geodesic.mathdoc.fr/item/CMUC_2012__53_4_a11/