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.  
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)
Author NameAffiliation
Fucai LIN School of Mathematics and Statistics, Minnan Normal University, Fujian 363000, P. R. China 
Shou LIN Institute of Mathematics, Ningde Teachers' College, Fujian 352100, P. R. China 
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      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?
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