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arXiv · 2004.02880

On the relative Kuo condition and the second relative Kuo condition

Karim Bekka·Satoshi Koike
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Abstract

The Kuo condition and the the second Kuo condition are known as criteria for an r-jet to be V-sufficient in C^r mappings and C^{r+1} mappings, respectively. In a previous paper we considered the notions of V-sufficiency of jets and these Kuo conditions in the relative case to a given closed set, and showed that the relative Kuo condition is a criterion for a relative r-jet to be V-sufficient in C^r mappings and the second relative Kuo condition is a sufficient condition for a relative r-jet to be V-sufficient in C^{r+1} mappings. In this paper we discuss several conditions equivalent to the relative Kuo condition or the second relative Kuo condition.

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Karim Bekka, Satoshi Koike. 2020-04-06. On the relative Kuo condition and the second relative Kuo condition. https://arxiv.org/abs/2004.02880

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