Equivalence of Kuo and Thom quantities for analytic functions

Karim Bekka, Satoshi Koike
2021 Proceedings of the Japan Academy. Series A Mathematical sciences  
Sufficiency of jets is a very important notion introduced by René 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.
doi:10.3792/pjaa.97.004 fatcat:s3dn2a6p5vgtjeccoaijbgljjq