Weak forms of open mappings and strong forms of sequence-covering mappings

Authors

  • Ying Ge Department of Mathematics, Suzhou University, Suzhou, 215006, P.R.China Author

Keywords:

Open (weak-open, $sn$-open) mapping, almost open (almost weak-open, almost $sn$-open) mapping, 1-sequence-covering mapping, 2-sequence-covering mapping

Subjects:

54C05, 54C10

Abstract

In this paper, we discuss some weak forms of open mappings andsome strong forms of sequence-covering mappings, and establish somerelations among these mappings. As some applications of theseresults, we obtain that images of metric spaces under certain weakforms of open mappings can be characterized as images of metricspaces under certain strong forms of sequence-covering mappings.

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Published

2007-04-15

Issue

Vol. 59 No. 1–2 (2007): Vol. 59, Issue 1–2

Section

Articles

License

Copyright (c) 2007 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.