三函数奇异性的局部理论与积映射

Pub Date : 2022-03-01 DOI:10.32917/h2021020

Kazuto Takao

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引用次数: 0

摘要

摘要。假设一个光滑映射；g；hÞ：R n！R3，其中nb3，在原点有一个稳定的奇点。我们刻画了函数f:Rn！R和映射；gÞ：R n！R2在原点的判别集；g；hÞ。

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Local theory of singularities of three functions and the product maps

A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .

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