| sn可度量化空间的映射定理 |
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| 引用本文： | 林寿.sn可度量化空间的映射定理[J].数学进展,2006,35(5):615-620. |
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| 作者姓名： | 林寿 |
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| 作者单位： | 漳州师范学院数学系,漳州,福建,363000;宁德高等师范专科学校数学系,宁德,福建,352100 |
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| 基金项目： | Supported by the NSFC(No.10271026,No.10571151). |
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| 摘 要： | 具有σ局部有限sn网的正则空间称为sn可度量化空间,本文讨论了k半层空间的可扩性质,证明了序列覆盖的闭映射保持sn可度量化空间,同时给出与sn可度量化空间的映射性质相关的几个例子。
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| 关 键 词： | k半层空间 sn可度量空间 α4空间 序列覆盖映射 闭映射 |
| 文章编号： | 1000-0917（2006）05-0615-06 |
| 收稿时间： | 2004-12-13 |
| 修稿时间： | 2004年12月13 |
A Mapping Theorem On sn-metrizable Spaces |
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| LIN Shou.A Mapping Theorem On sn-metrizable Spaces[J].Advances in Mathematics,2006,35(5):615-620. |
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| Authors: | LIN Shou |
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| Institution: | 1. Dept. of Math., Zhangzhou Normal University, Zhangzhou, Fujian, 363000, P. R. China; 2. Dept. of Math., Ningde Teachers College, Ningde, Fujian, 352100, P. R. China |
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| Abstract: | A space is called an sn-metrizable space if it is a regular space with a σ-locally finite sn-network. In this paper an expandable property of k-semistritifiable spaces is discussed, it is shown that sn-metrizability is preserved by closed sequence-covering mappings,and some related examples of mapping properties on sn-metrizable spaces are given. |
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| Keywords: | k-semistratifiable spaces sn-metrizable spaces sequence-covering |
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