| En中Heine-Borel定理的注记 |
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| 引用本文： | 何刚. En中Heine-Borel定理的注记[J]. 贵州师范大学学报(自然科学版), 2005, 23(3): 76-77 |
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| 作者姓名： | 何刚 |
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| 作者单位： | 遵义师范学院,数学系,贵州,遵义,563002 |
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| 摘 要： | 给出了En中子集紧致的充要条件是有界闭的另一证法,其充分条件就是He ine-Borel定理。
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| 关 键 词： | En 紧致子集 有界闭集 |
| 文章编号： | 1004-5570（2005）03-0076-02 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005-03-28 |
Notes on the Heine-Borel theorem in En |
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| HE Gang. Notes on the Heine-Borel theorem in En[J]. Journal of Guizhou Normal University(Natural Sciences), 2005, 23(3): 76-77 |
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| Authors: | HE Gang |
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| Abstract: | A subset of En is compact, if and only if it is closed and bounded. The sufficiency of the theorem is the known as Heine - Borel theorem. A simplified proof is given. |
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| Keywords: | E^n compact subset bounded closed set |
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