| L-smooth半预开集与L-smooth半预不定映射 |
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| 引用本文： | 王延军,马保国. L-smooth半预开集与L-smooth半预不定映射[J]. 云南师范大学学报(自然科学版), 2007, 27(4): 15-19 |
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| 作者姓名： | 王延军 马保国 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 陕西省教育厅专项科研基金项目（06JKl52）;延安大学重点科研项目（yd2004-090）. |
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| 摘 要： | 以文献[5]为基础，在L—smooth拓扑空间中定义了r-半预开集、r-半预闭集、r-半预内部、r-半预闭包，研究了它们的一些基本性质；同时，引入了L—smooth半预不定映射、L-smooth半预不定开映射、L—smooth半预不定闭映射及L—smooth半预不定同构映射的概念，给出了它们的等价刻画，并系统的讨论了它们之间的关系，推广了已有的结果。
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| 关 键 词： | L-smooth拓扑空间 L-smoothr-半预开集 L-smooth半预不定映射 |
| 文章编号： | 1007-9793（2007）04-0015-05 |
| 修稿时间： | 2006-04-24 |
L-smooth Semi-preopen Sets and L-smooth Semi-preirresolute Mappings |
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| WANG Yan-jun,MA Bao-guo. L-smooth Semi-preopen Sets and L-smooth Semi-preirresolute Mappings[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2007, 27(4): 15-19 |
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| Authors: | WANG Yan-jun MA Bao-guo |
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| Affiliation: | College of Mathematics and Computer Science, Yanan University, Yanan 716000, China |
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| Abstract: | In this paper,based on the paper[5 ] ,r - semi - preopen sets, r - semi - preclosed sets, r - semi - preinterior and r - semi - preclosure are defined in L - smooth topological spaces, some of their basic properties are studied. Meanwhile , the concepts of L - smooth semi - preirresolute, semi - preirresolute open, semi - preirresolute closed as well as semi - preirresolute homeomorphic mappings are introduced. Some of their equivalent conditions are given and the relationships of them are systematically discussed, the existing re- suits are generalized. |
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| Keywords: | L - smooth topological spaces L - smooth r - semi - preopen sets L - smooth semi - preir- resolute mapping. |
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