| 邻域套基与A1公理 |
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| 引用本文： | 王见勇.邻域套基与A1公理[J].宁夏大学学报(自然科学版),1995,16(1):70-73. |
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| 作者姓名： | 王见勇 |
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| 作者单位： | 西北第二民族学院电子系 |
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| 摘 要： | 该文给出一个无领域套基的空间的例子，证明了可分空间或拓扑向量空间中，领域套基的存在性等价于Ａ１公理，并利用序数理论构造了一个非可分空间的例子，其中每点存在领域套基但不满足Ａ１公理。
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| 关 键 词： | 领域套基 A1公理 良序 序数 拓扑空间 |
THE LOCALLY NESTED BASIS AND THE A_1 AXIOM |
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| Wang Jianyong.THE LOCALLY NESTED BASIS AND THE A_1 AXIOM[J].Journal of Ningxia University(Natural Science Edition),1995,16(1):70-73. |
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| Authors: | Wang Jianyong |
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| Abstract: | In this paper,an example of the space which has no locally nested basis of neigh-borhood has been given. In separable topological spaces or topological vector spaces ,the ex-istence of locally nested basis of neighborhood is equal with A_1 axiom A inseparable spacewhich has locally nested basis of neighborhood for each point of it but not obeyed with A_1 ax-iom has also been constructed. |
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| Keywords: | locally nested basis of neighborhood well ordering A_1 axiom ordinal numbers |
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