| 用收敛类刻划第一可数公理 |
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| 引用本文： | 范立琼. 用收敛类刻划第一可数公理[J]. 华中师范大学学报(自然科学版), 1997, 31(2): 148-150 |
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| 作者姓名： | 范立琼 |
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| 作者单位： | 广东教育学院数学系 |
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| 摘 要： | 用收敛类诱导出满足第一可数公理的拓扑空间，并得到一个拓扑空间满足第一可数公理的充要条件。
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| 关 键 词： | 有向集 网 拓扑空间 第一可数公理 收敛类 |
DESCRIPTION OF THE FIRST COUNTABILITY AXIOM BY USING THE THEORY OF CONVERGENCE CLASSES |
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| Fan Liqiong. DESCRIPTION OF THE FIRST COUNTABILITY AXIOM BY USING THE THEORY OF CONVERGENCE CLASSES[J]. Journal of Central China Normal University(Natural Sciences), 1997, 31(2): 148-150 |
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| Authors: | Fan Liqiong |
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| Abstract: | In this paper, the first countability axiom is described by using the theory of convergence classes. Moreover, a sufficient and necessary condition for a space to satisfy the first countability axiom is obtained. |
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| Keywords: | directed set net convergence class |
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