半连续函数性质探索之我见

My Opinion of Characters of Semicontinuous Function

本文从连续函数的定义出发,类似地给出了上、下半连续函数的定义及其等价形式,详细论述了半连续函数与连续函数性质的相似及不同之处,并进一步举例论证了自己的观点。

This article gives a definition and description of upper and lower semicontinuous function from the definition of continuous function. And compares continuous function with semicontinuous function in detail, discussing the similarities and differences of characters between them, demonstrating the author＇s opinion with examples.