| k半层空间的伪开紧映象 |
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| 引用本文： | 李克典,林寿.k半层空间的伪开紧映象[J].数学学报,2005,48(6):1195-1198. |
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| 作者姓名： | 李克典 林寿 |
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| 作者单位： | [1]漳州师范学院数学系,漳州363000 [2]宁德师范高等专科学校数学系,宁德352100 |
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| 基金项目： | 国家自然科学基金资助项目（10271026）：福建省教育厅科研资助项目（JB04298） |
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| 摘 要： | 本文得到了σ空间的伪开L映象是σ空间的充分且必要条件,改进了1978年Chaber关于σ空间的映射定理,证明了k半层空间的伪开紧映象是σ空间,深化了1971年Henry关于层空间的映射定理,肯定地回答了1990年林寿关于N空间映射性质的一个问题,同时给出几个例子说明这是σ空间和k半层空间较好的伪开映射定理。
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| 关 键 词： | k半层空间 伪开映射 紧映射 |
| 文章编号： | 0583-1431（2005）06-1195-04 |
| 收稿时间： | 2005-01-28 |
| 修稿时间： | 2005-01-282005-08-23 |
On Pseudo-Open and Compact Images of k-Semistratifiable Spaces |
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| Ke Dian LI ,Shou LIN.On Pseudo-Open and Compact Images of k-Semistratifiable Spaces[J].Acta Mathematica Sinica,2005,48(6):1195-1198. |
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| Authors: | Ke Dian LI Shou LIN |
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| Institution: | 1 Department of Mathematics, Zhangzhou Normal University, Zhangzhou 363000, P. R. China;2 Department of Mathematics, Ningde Teachers College, Ningde 352100, P. R. China |
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| Abstract: | In this paper a sufficient and necessary condition in which a-spaces are preserved by pesudo-open and L-mappings is obtained, a mapping theorem on σ-spaces by Chaber in 1978 is improved, it is shown that pseudo-open and compact images of k-semistratifiable spaces are σ-spaces, which generalizes a mapping theorem on stratifiable spaces by Henry in 1971 and affirmatively answers a question on N-spaces posed by Shou Lin in 1990. In the final, some examples are given showing the theorems are nice pseudo-open mapping theorems on σ-spaces and k-semistratifiable spaces. |
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| Keywords: | k-semistratifiable spaces Pseudo-open mappings Compact mappings |
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