The modified analytic trivialization of singularities
The modified analytic trivialization of singularities
复制标题
奇点的改进解析平凡化
DOI：
10.2969/jmsj/03240605
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发表时间：
1980
影响因子：
0.7
通讯作者：
T. Kuo
中科院分区：
文献类型：
--
作者：
T. Kuo
我们考虑某些类奇点的分类。其中特别包括柯伊伯、惠特尼和塞曼的观点。本文还考虑了由比值检验$（（4））$引起的风筝奇点，如$R^{3}$中的$y^{2}=t^{2}x^{3}+x^{5}$。当面临分类问题时，决定哪种等价关系是最好的往往是非常困难的，但也是最有趣的。它应该尽可能强大，同时保持类的数量最少。惠特尼的例子反映了一个典型的情况
We consider the classification of certain classes of singularities. They include in particular those of Kuiper, Whitney and Zeeman. The kite singularities, such as $y^{2}=t^{2}x^{3}+x^{5}$ in $R^{3}$ , which arise from the Ratio Test $((4))$ , are also considered. While facing a classification problem, it is often very difficult, and yet most interesting, to decide which equivalence relation is the best. It should be as strong as possible, whilst keeping the number of classes to a minimum. A typical situation is reflected in the Whitney example