Equivalence of Kuo and Thom quantities for analytic functions
Algebraic Geometry
2020-08-26 v2
Abstract
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.
Cite
@article{arxiv.2003.02127,
title = {Equivalence of Kuo and Thom quantities for analytic functions},
author = {Karim Bekka and Satoshi Koike},
journal= {arXiv preprint arXiv:2003.02127},
year = {2020}
}
Comments
10 pages, no figure. arXiv admin note: substantial text overlap with arXiv:1703.07069