论文标题

Kuo和Thom量的等效性用于分析功能

Equivalence of Kuo and Thom quantities for analytic functions

论文作者

Bekka, Karim, Koike, Satoshi

论文摘要

喷气机的充分性是Rene Thom引入的一个非常重要的概念,以建立结构稳定性理论。喷气机的一些充分性标准称为KUO条件和THOM类型不等式,这些条件是使用KUO数量和Thom数量定义的。因此,这些数量是有意义的。在本文中,我们显示了Kuo和Thom数量的等效性。然后,我们将此结果应用于给定的闭合集。

Sufficiency of jets is a very important notion introduced by Rene Thom in order to establish the structural stability theory. The criteria for some sufficiency of jets are known as the Kuo condition and Thom type inequality, which are defined using the Kuo quantity and Thom quantity. Therefore these quantities are meaningful. In this paper we show the equivalence of Kuo and Thom quantities. Then we apply this result to the relative conditions to a given closed set.

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