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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_2012__53_4_a11,
     author = {Tuyen, Luong Quoc},
     title = {Remarks on sequence-covering maps},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {645--650},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2012},
     mrnumber = {3016433},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012__53_4_a11/}
}
TY  - JOUR
AU  - Tuyen, Luong Quoc
TI  - Remarks on sequence-covering maps
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2012
SP  - 645
EP  - 650
VL  - 53
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2012__53_4_a11/
LA  - en
ID  - CMUC_2012__53_4_a11
ER  - 
%0 Journal Article
%A Tuyen, Luong Quoc
%T Remarks on sequence-covering maps
%J Commentationes Mathematicae Universitatis Carolinae
%D 2012
%P 645-650
%V 53
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2012__53_4_a11/
%G en
%F CMUC_2012__53_4_a11
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/