| L-Smooth拓扑空间中几种弱映射的等价刻画 |
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| 引用本文： | 徐振国,张杰.L-Smooth拓扑空间中几种弱映射的等价刻画[J].辽宁师范大学学报(自然科学版),2004,27(2):139-141. |
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| 作者姓名： | 徐振国 张杰 |
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| 作者单位： | 1. 北京理工大学,理学院,北京,100081
2. 北方工业大学,理学院,北京,100041 |
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| 摘 要： | 在L-smooth拓扑空间中给出了L-smooth irresolute映射，L-smooth irresolute开映射和L-smooth irresolute闭映射以及L-smooth irresolute同构映射等概念，给出了各个映射的等价刻画，描述了L-smooth irresolute开映射和L-smooth irresolute闭映射之间的关系，同时把L-smooth irresolute映射，L-smooth irresolute开映射和L-smooth irresolute闭映射以及L-smooth irresolute同构映射之间的关系用定理2，6准确而清楚的表达出来．
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| 关 键 词： | L-Smooth拓扑空间 弱映射 L-smooth irresolute开映射 L-smooth irresolute闭映射 |
| 文章编号： | 1000-1735(2004)02-0139-03 |
| 修稿时间： | 2003年3月12日 |
Equivalent Conditions of Some Weakly Mappings in L-Smooth Topological Space |
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| XU Zhen-guo,ZHANG Jie.Equivalent Conditions of Some Weakly Mappings in L-Smooth Topological Space[J].Journal of Liaoning Normal University(Natural Science Edition),2004,27(2):139-141. |
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| Authors: | XU Zhen-guo ZHANG Jie |
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| Institution: | XU Zhen-guo~1,ZHANG Jie~2 |
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| Abstract: | We defined the L-smooth irresolute mapping,L-smooth irresolute open mapping and L-smooth irresolute closed mapping in L-smooth irresolute space.The equivalent conditions of L-smooth irresolute mapping,L-smooth irresolute open mapping and L-smooth irresolute closed mapping were also given in this paper.We presented the relations between the L-smooth the irresolute open mapping and the L-smooth irresolute closed mapping.Furthermore the relations between the L-smooth irresolute mapping,L-smooth irresolute open mapping,L-smooth irresolute closed mapping,and the L-smooth irresolute homomorphic mapping were expressed succinctly and correctly in theorem 2.6. |
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| Keywords: | L-smooth topological space L-smooth irresolute open mapping L-smooth irresolute closed mapping |
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