拓扑线性空间完备化定理证明的改进 |
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引用本文: | 邵惠伯. 拓扑线性空间完备化定理证明的改进[J]. 河北大学学报(自然科学版), 1987, 0(4) |
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作者姓名: | 邵惠伯 |
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作者单位: | 河北大学数学系 |
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摘 要: | 本文指出“在拓扑空间X中一切基本定向点列的全体”的提法的错误,并给出拓扑线性空间完备化定理证明的改进。
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The Improvement of the proof of the Theorem of the Completion of a Topological Linear Space |
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Abstract: | In this paper we shll point out that so called"the totality of all Cauchy's nets in a topological space X" is wrong, and give the improvement of the proof of the theorem of the completion of a topological linear space. |
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