| 诱导导算子与上(下)半连续函数 |
| |
| 引用本文： | 方进明. 诱导导算子与上(下)半连续函数[J]. 数学研究及应用, 2003, 23(1): 133-136 |
| |
| 作者姓名： | 方进明 |
| |
| 作者单位： | 青岛海洋大学应用数学系,山东,青岛,266003 |
| |
| 基金项目： | 山东省自然科学基金资助项目(Q99A02) |
| |
| 摘 要： | 本文首先研究由经典拓扑诱导的导算子的性质,给出其分解定理;其次用该诱导导算 子给出格值上(下)半连续函数的若干刻画条件.
|
| 关 键 词： | 拓扑 导集 诱导导算子 上（下）半连续函数 |
| 文章编号： | 1000-341X(2003)01-0133-04 |
| 收稿时间： | 2000-01-10 |
| 修稿时间： | 2000-01-10 |
Induced Derived Operator and Upper Semi-Continuous Mappings |
| |
| FANG Jin-ming. Induced Derived Operator and Upper Semi-Continuous Mappings[J]. Journal of Mathematical Research with Applications, 2003, 23(1): 133-136 |
| |
| Authors: | FANG Jin-ming |
| |
| Affiliation: | Dept. of Math.; Ocean University of Qingdao; Shandong; China |
| |
| Abstract: | In this paper, we study the properties of the derived operator induced by classical topology, and show the decomposition theorem of this derived operator. In addition, by using the induced derived operator, we give some of equivalent conditions of lattice-valued upper semi-continuous mappings. |
| |
| Keywords: | topology derived set induced derived operator upper semi-continuous mapping. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
