| 关于半连续函数性质的一点注记 |
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| 引用本文： | 王春雨,佟玲,张赛鹏. 关于半连续函数性质的一点注记[J]. 天津理工大学学报, 2007, 23(4): 59-60 |
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| 作者姓名： | 王春雨 佟玲 张赛鹏 |
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| 作者单位： | 1. 天津理工大学,理学院,天津,300191
2. 金华技师学院,金华,322000 |
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| 摘 要： | 本文介绍了半连续函数的定义并利用有限覆盖定理证明了上(下)半连续函数有上(下)界的这一重要性质,从而推广了上(下)半连续函数的某些性质并给出相应的证明.
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| 关 键 词： | 连续 上半连续 下半连续 上界 下界 有限覆盖 |
| 文章编号： | 1673-095X（2007）04-0059-02 |
| 收稿时间： | 2006-05-18 |
| 修稿时间： | 2006-05-18 |
A note on semi-continuous function''''s nature |
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| WANG Chun-yu,TONG Ling,ZHANG Sai-peng. A note on semi-continuous function''''s nature[J]. Journal of Tianjin University of Technology, 2007, 23(4): 59-60 |
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| Authors: | WANG Chun-yu TONG Ling ZHANG Sai-peng |
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| Affiliation: | 1. School of Science, Tianjin University of Technology, Tianjin 300191, China; 2. Jinhua Normal School of Technology, Jinhua 322000, China |
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| Abstract: | In this paper,we will introduce semi-continuous function and prove a piece of valuable nature about semi-continuous function with the theorem of finite covering.Then we will prove some nature of semi-continuous function. |
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| Keywords: | continuous upper semi-continuous lower semi-contiuous bounded from above bounded from below finite covering |
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