论文标题
在相对的KUO条件和第二个相对KUO条件下
On the relative Kuo condition and the second relative Kuo condition
论文作者
论文摘要
KUO条件和第二个KUO条件被称为R-JET的标准，该标准分别为C^r映射和C^{R+1}映射。 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.在本文中，我们讨论了相当于相对KUO条件或第二个相对KUO条件的几种条件。
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.
