摘要
We find that there is a serious mistake in the proof of Lemma 3 of paper [1]. The author wants to prove, copying the original method in [2], the global Borel theorem. But a Sample example shows that this is impossible.
本文用一个十分简单的例子说明[1]对整体的Borel定理的证明是错误的.为此,还须介绍函数芽和函数芽序列一致收敛的概念,并给出一个判定引理.