| s—弧连通空间与s—弧连通 |
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| 引用本文： | 许兆龙. s—弧连通空间与s—弧连通[J]. 东华理工学院学报, 2000, 19(2): 5-9 |
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| 作者姓名： | 许兆龙 |
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| 作者单位： | 持句师范专科学校数学与计算机科学系,江西临川 |
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| 摘 要： | 文章由半开集理论，引入ｓ－弧连通空间和ｓ－弧连通概念，证明了ｓ－弧连通空间是半拓扑性质，ｓ－弧连通是等价关系，讨论了ｓ－连续映射在定义域和值域上的限制的性质。
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| 关 键 词： | s－连续映射 s－弧连通空间 s－弧连通 拓扑空间 |
$s$-arc Connected Space and $s$-arc Connected |
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| Xu Zhaolong. $s$-arc Connected Space and $s$-arc Connected[J]. Journal of East China Institute of Technology, 2000, 19(2): 5-9 |
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| Authors: | Xu Zhaolong |
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| Abstract: | On this paper,we introduced concepts on $s$-arc connected space and $s$-arc connected by the theory of semi-open sets.Being $s$-arc connected space is shown to be semi-topological property.$s$-arc connected is shown to be equivalence relation.We discussed the propertes of semi-continuous mapping on it's domain and range. |
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| Keywords: | semi-open sets semi-continuous mapping semi-homeomorphism semi-arc connected space semi-arc connected |
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