闭区间套定理的推广 |
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引用本文: | 毛一波.闭区间套定理的推广[J].渝西学院学报(自然科学版),2005,4(2):26-27. |
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作者姓名: | 毛一波 |
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作者单位: | 渝西学院数学与计算机科学系 重庆永川402160 |
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摘 要: | 从两个方面对实数集R1上的闭区间套定理进行了推广,得到了一般完备度量空间上的闭区间套定理,而一般实数集Rn空间上的闭区间套定理为其特例,并利用Rn空间上的闭区间套定理得到了Rn空间上的聚点定理.
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关 键 词: | 闭区间套 度量空间 完备性 |
文章编号: | 1671-7538(2005)02-0026-02 |
收稿时间: | 2005-01-14 |
Generalized Theorem of Nested Closed Interval |
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Authors: | MAO Yi - bo |
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Abstract: | Theorem of nested closed interval in R~1 is generalized to generic complete metric space. The theorem in R~n is its particular case. The theorem of accumulation point in R~n can proved by theorem of nested interval in R~n. |
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Keywords: | nested closed interval metric space completeness |
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