| 特殊预拓扑空间的连通性与局部连通性 |
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| 引用本文： | 黄永艳.特殊预拓扑空间的连通性与局部连通性[J].内江师范学院学报,2012,27(12):21-23. |
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| 作者姓名： | 黄永艳 |
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| 作者单位： | 太原电力高等专科学校基础部,山西太原,030013 |
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| 基金项目： | 陕西省自然科学基金项目 |
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| 摘 要： | 讨论了多于两点的离散拓朴空间、奇偶预拓扑空间、区间套预拓扑空间等特殊的预拓扑空间的连通性与局部连通性,建立了序预拓扑空间的概念,并证明字典序预拓扑空间是连通且局部连通的.
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| 关 键 词： | 预拓扑空间 特殊预拓扑空间 连通性 局部连通 |
The Connectivity and Local Connectivity of Several Special Pre-topological Spaces |
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| HUANG Yong-yan.The Connectivity and Local Connectivity of Several Special Pre-topological Spaces[J].Journal of Neijiang Teachers College,2012,27(12):21-23. |
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| Authors: | HUANG Yong-yan |
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| Institution: | HUANG Yong-yan (Division of Basic Courses, Taiyuan Institute o{ Electrical Engineering, Taiyuan, Shanxi 030013, China) |
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| Abstract: | The connectivity and local connectivity of several special pre-topologieal spaces, such as the discrete pre-topological space with more than two points, the parity pre-topological space and the interval sets pre-topological space, were put under examination. Then the notion of the ordered pre-topological space was established, and the lexicographical ordered pre-topological space was proved to be connected and, to be exact, locally connected. |
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| Keywords: | the pre-topological space special pre-topological space connectivity local connectivity |
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