| Some Notes on Closed Sequence-Covering Maps |
| Received:October 02, 2012 Revised:June 04, 2013 |
| Key Words:
closed maps sequence-covering maps weak bases $sn$-networks $cs$-networks $k$-semistratifiable spaces.
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| Fund Project:Supported by National Natural Science Foundation of China (Grant Nos.11201414; 10971185; 11171162), the Natural Science Foundation of Fujian Province (Grant No.2012J05013) and Training Programme Foundation for Excellent Youth Researching Talents of Fujian's Universities (Grant No.JA13190) |
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| Abstract: |
| In this paper, we mainly discuss the images of certain spaces under closed sequence-covering maps. It is showed that the property with a locally countable weak base is preserved by closed sequence-covering maps. And the following question is discussed: Are the closed sequence-covering images of spaces with a point-countable $sn$-network $sn$-first countable? |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.01.010 |
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