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arXiv · 1409.4309

$C^r$-right equivalence of analytic functions

Piotr Migus
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Abstract

Let $f,g:(\mathbb{R}^n,0)\rightarrow (\mathbb{R},0)$ be analytic functions. We will show that if $\nabla f(0)=0$ and $g-f \in (f)^{r+2}$ then $f$ and $g$ are $C^r$-right equivalent, where $(f)$ denote ideal generated by $f$ and $r\in \mathbb{N}$.

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Piotr Migus. 2014-09-15. $C^r$-right equivalence of analytic functions. https://arxiv.org/abs/1409.4309

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