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.
基金
山东省自然科学基金资助项目(Q99A02)
关键词
拓扑
导集
诱导导算子
上半连续函数
下半连续函数
topology
derived set
induced derived operator
upper semi-continuous mapping.
