| 完全覆盖与实数连续性 |
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| 引用本文： | 姚静荪.完全覆盖与实数连续性[J].安徽师范大学学报(自然科学版),1991,14(4):97-100. |
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| 作者姓名： | 姚静荪 |
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| 作者单位： | 安徽师大数学系 |
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| 摘 要： | 本文以一种新环路证明了完全覆盖定理(即文中引理)与实数连续性的等价性,并以完全覆盖定理为工具,给出了实变函数中两个重要定理的初等证明。
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| 关 键 词： | 完全覆盖 实数连续性 黎曼可积 |
Full Cover and Continuity of the Real Numbers |
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| Yao Jingsun.Full Cover and Continuity of the Real Numbers[J].Journal of Anhui Normal University(Natural Science Edition),1991,14(4):97-100. |
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| Authors: | Yao Jingsun |
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| Institution: | Department of Mathematics |
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| Abstract: | The paper proves the equivalence of the theorem of full cover and continuity of the real numbers in a new way. By the theorem of full cover, we give the elementary proofs of the two important theorems in real variable function. |
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| Keywords: | Full Cover Continuity of the real numbers Riemann integrabl e Absolutely continuous function |
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