Abstract

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

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

MSC: 54C05, 54C10

Pages:  1$-$8     

Volume  59 ,  Issue  1$-$2 ,  2007