| 实数连续性等价命题的证明及应用 |
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| 引用本文： | 李莲洁. 实数连续性等价命题的证明及应用[J]. 淮北煤炭师范学院学报(自然科学版), 2002, 23(2): 73-78 |
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| 作者姓名： | 李莲洁 |
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| 作者单位： | 淮北煤炭师范学院教务处,淮北,235000 |
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| 摘 要： | 本文以闭区间套定理为基础,证明实数连续性的其他等价命题,并给出它们的应用及有关的评议.
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| 关 键 词： | 闭区间套定理 上(下)确界 覆盖 聚点 |
| 文章编号： | 1000-2227(2002)02-0073-06 |
| 修稿时间： | 2002-02-26 |
The Proof and Application for Equivalent Proposition of the Real Continuity |
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| LI Lian jie. The Proof and Application for Equivalent Proposition of the Real Continuity[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2002, 23(2): 73-78 |
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| Authors: | LI Lian jie |
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| Abstract: | The paper proves other equivalent propositions, based on The Covered Closed Interval Theorem. It gives the overviews of their application and correlative remark. |
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| Keywords: | the covered closed interval theorem supremum(infimum) cover coherence point |
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