"Whitney引理的推广及应用"一文中的错误

Mistake in the Paper "The Generalization of Whitney's Lemma and Application"

英文关键词:Borel theorem  function-germ  convergence uniformly.

中文摘要:

      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.

英文摘要:

      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 simple example shows that this is impossible.