关于Morse引理的推广(英文)

On the Generation of Morse Lemma

Morse Lemma是奇点理论中一个极为重要的结论。[1]的作者称其文中的定理1和定理2是Morse Lemma的推广。为此我们愿就[1]中的几个问题与[1]的作者商榷。

We find that: the Theorems 1 and 2, called 'the generalization of Morse Lemma' in [1], are just a copy of a well known result in Singularity Theory, and the conclusion of Theorem 2 is not true. Since the Morse Lemma is an important result in Singularity Theory, we will discuss to the author of [1] for the problem of generalizing Morse Lemma.