Luong Quoc Tuyen
Remarks on sequence-covering maps

Comment.Math.Univ.Carolin. 53,4 (2012) 645-650.

Abstract: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}.

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
AMS Subject Classification: 54C10 54D65 54E40 54E99

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