解析函数的Kuo和Thom量的等价性

arXiv: Algebraic Geometry Pub Date : 2020-03-03 DOI:10.3792/PJAA.97.004

K. Bekka, S. Koike

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引用次数: 1

摘要

射流充分性是Rene Thom为建立结构稳定性理论而引入的一个非常重要的概念。某些射流充分性的判据称为Kuo条件和Thom型不等式，它们是用Kuo量和Thom量来定义的。因此这些量是有意义的。本文证明了Kuo和Thom量的等价性。然后将此结果应用于给定闭集的相对条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Equivalence of Kuo and Thom quantities for analytic functions

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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arXiv: Algebraic Geometry

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