诱导导算子与上(下)半连续函数  

Induced Derived Operator and Upper Semi-Continuous Mappings

作　　者：方进明[1] 

机构地区：[1]青岛海洋大学应用数学系,山东青岛266003

出　　处：《Journal of Mathematical Research and Exposition》2003年第1期133-136,共4页数学研究与评论（英文版）

基　　金：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.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.

关 键 词：拓扑 导集 诱导导算子 上半连续函数 下半连续函数 

分 类 号：O177[理学—数学]