Remarks on sequence-covering maps

Luong Quoc Tuyen

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 4, page 645-650
  • ISSN: 0010-2628

Abstract

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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 [Lin.F.C.and.Lin.S-2011].

How to cite

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Tuyen, Luong Quoc. "Remarks on sequence-covering maps." Commentationes Mathematicae Universitatis Carolinae 53.4 (2012): 645-650. <http://eudml.org/doc/252468>.

@article{Tuyen2012,
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 [Lin.F.C.and.Lin.S-2011].},
author = {Tuyen, Luong Quoc},
journal = {Commentationes Mathematicae Universitatis Carolinae},
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; -metrizable space; weak base; -network; boundary-compact map; 1-sequence-covering map; weak-open map},
language = {eng},
number = {4},
pages = {645-650},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on sequence-covering maps},
url = {http://eudml.org/doc/252468},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Tuyen, Luong Quoc
TI - Remarks on sequence-covering maps
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 4
SP - 645
EP - 650
AB - 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 [Lin.F.C.and.Lin.S-2011].
LA - eng
KW - $g$-metrizable space; weak base; $sn$-network; compact map; boundary-compact map; sequence-covering map; 1-sequence-covering map; weak-open map; closed map; -metrizable space; weak base; -network; boundary-compact map; 1-sequence-covering map; weak-open map
UR - http://eudml.org/doc/252468
ER -

References

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