复函数芽截断与实函数芽截断的相对S-C^0-充分性的区别

The Difference Between the Relative S-C^0-Sufficiency of Jets of Complex Function Germs and Jets of Real Function Germs

随着奇点理论的发展和实际问题的需要,相对性问题的研究显得越来越重要.相对映射特殊于一般映射,在合理寻找相对集合S的情况下,一般映射所不能满足的条件相对映射却可以满足.本文给出相对复解析函数芽;相对S-C0-充分;C0-充分与V-充分的定义,并指出复函数芽截断的相对S-C0-充分性与实函数芽截断的相对S-C0-充分性的区别.

With the development of singularity theory and the need of actual problems, the studying of the relativity problems is more and more important. Relative mapping is more particular than usual mapping. If we look for relative set S rationally, relative mapping can satisfy some conditions that usual mapping doesn＇ t satisfy. In this paper we shall give the definitions of relative complex analytic function germs; relative S-C^0-sufficiency; C^0-sufficiency; V-sufficiency, and point out some differences between the relative S-C^0- sufficiency of jets of complex function germs and the relative S-C^0- sufficiency of jets of real function germs.