| 完全覆盖与实数连续性 |
| |
| 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 |
| |
| 作者姓名： | 姚静荪 |
| |
| 作者单位： | 安徽师大数学系 |
| |
| 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。
|
| 关 键 词： | 完全覆盖 实数连续性 黎曼可积 |
Full Cover and Continuity of the Real Numbers |
| |
| Yao Jingsun. Full Cover and Continuity of the Real Numbers[J]. Journal of Anhui Normal University(Natural Science Edition), 1991, 14(4): 97-100 |
| |
| Authors: | Yao Jingsun |
| |
| Affiliation: | Department of Mathematics |
| |
| 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. |
| |
| Keywords: | Full Cover Continuity of the real numbers Riemann integrabl e Absolutely continuous function |
| 本文献已被 CNKI 维普 等数据库收录！ |
