度量空间内闭集上连续函数的开拓

THE EXTENSION OF A CONTINUOUS FUNCTION ON A CLOSED SET IN THE METRIC SPACE

本文给出度量空间内闭集上连续函数开拓为全空间上连续函数的一种比较简单的新方法,此方法不必引用半连续的概念,证明也较容易。

In this paper we give a new method by which a continuous function definedon a closed set can be extended to the whole metric space.This method did notneed apply the notion of semicontinuous functions and relevant properties,Theproof is easier.