| 线性拓扑空间中有关凸性的一些结果 |
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| 引用本文： | 郑喜印.线性拓扑空间中有关凸性的一些结果[J].云南大学学报(自然科学版),1990,12(2):113-117. |
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| 作者姓名： | 郑喜印 |
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| 作者单位： | 云南大学数学系 |
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| 摘 要： | 本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质.证明了线性拓扑空间中一类很广泛的集合以其固有代数边界点集为稠密集;并得到紧集是其固有代数边界点集的闭包.此外还研究了固有代数边界点集的序列稠性.并获得了一些有趣的结果.
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| 关 键 词： | 凸集 边界点 线性拓扑空间 稠 |
Some Results on the Convexity in Topological Linear Spaces |
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| Zheng Xiyin.Some Results on the Convexity in Topological Linear Spaces[J].Journal of Yunnan University(Natural Sciences),1990,12(2):113-117. |
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| Authors: | Zheng Xiyin |
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| Abstract: | The properties of the proper algebraic boundary point sets of the sets in topological linear spaces were discussed. The compact set is the closure of the set of it s proper algebraic boundary points and a very widely kind of sets have It s sproper algebraic boundary points set as it s dense set areproved. Finally the series density of the proper algebraic boundary points set is also studied. |
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| Keywords: | convex set boundary point linear topclogical space density |
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