| 弧连通空间与收敛类 |
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| 引用本文： | 刁兴国,黎次铨. 弧连通空间与收敛类[J]. 军械工程学院学报, 1994, 0(3) |
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| 作者姓名： | 刁兴国 黎次铨 |
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| 作者单位： | 河北职业技术师院(刁兴国)，军械工程学院(黎次铨) |
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| 摘 要： | 本文利用收敛类的理论刻划弧连空间,并得到:集合X上具有F性质的子集簇(?)确定了X的一个收敛类(?),则(?)诱导出的拓扑空间(X,(?)-(?))是弧连通的;反之,每一个弧连空间(X,(?)都可以由集合X的一个收敛类诱导出来。
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| 关 键 词： | 网 收敛类 弧连通空间 |
ARCWISE CONNECTED SPACE AND CONVERGENCE CLASSES |
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| Diao Xingguo. ARCWISE CONNECTED SPACE AND CONVERGENCE CLASSES[J]. Journal of Ordnance Engineering College, 1994, 0(3) |
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| Authors: | Diao Xingguo |
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| Affiliation: | Diao Xingguo (Hebei College of Career Technology)Li Ciquan (Ordnance Engineering College of PLA) |
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| Abstract: | In this paper, theory of convergence classes is used to describe connected topological space and the following results are obtained: If a convergence dasses (?) of set X is determined by subset dasses (?), which is of F property and defined on the basis of set X, the topological space (X, (?) -(?)) induced from (?) is an arcwise connected space; every arcwise connected space can be induced from a convergence classes of set X. |
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| Keywords: | net convergence classes arcwise connected space. |
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