| 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 |
| 诱导导算子与上(下)半连续函数 |
| Induced Derived Operator and Upper Semi-Continuous Mappings |
| 投稿时间：2000-01-10 |
| DOI：10.3770/j.issn:1000-341X.2003.01.021 |
| 中文关键词: 拓扑 导集 诱导导算子 上（下）半连续函数 |
| 英文关键词:topology derived set induced derived operator upper semi-continuous mapping. |
| 基金项目:山东省自然科学基金资助项目(Q99A02) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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