| 闭序列覆盖映射的一些注记 |
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| 引用本文： | 林福财,林寿. 闭序列覆盖映射的一些注记[J]. 数学研究及应用, 2014, 34(1): 97-104 |
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| 作者姓名： | 林福财 林寿 |
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| 作者单位： | 闽南师范大学数学与统计学院, 福建 漳州 363000;宁德师范学院, 福建 宁德 352100 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11201414; 10971185; 11171162),福建省自然科学基金(Grant No. 2012J05013),福建省高校杰出青年科研人才培育项目(Grant No.JA13190) |
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| 摘 要： | In this paper, we mainly discuss the images of certain spaces under closed sequencecovering 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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| 关 键 词： | 序列覆盖映射 局部可数 封闭 图像 空间 弱基 |
| 收稿时间： | 2012-10-02 |
| 修稿时间： | 2013-06-04 |
Some Notes on Closed Sequence-Covering Maps |
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| Fucai LIN and Shou LIN. Some Notes on Closed Sequence-Covering Maps[J]. Journal of Mathematical Research with Applications, 2014, 34(1): 97-104 |
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| Authors: | Fucai LIN and Shou LIN |
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| Affiliation: | School of Mathematics and Statistics, Minnan Normal University, Fujian 363000, P. R. China;Institute of Mathematics, Ningde Teachers' College, Fujian 352100, P. R. China |
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| Abstract: | In this paper,we mainly discuss the images of certain spaces under closed sequencecovering 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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| Keywords: | closed maps sequence-covering maps weak bases $sn$-networks $cs$-networks $k$-semistratifiable spaces. |
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