光滑映射芽的无限相对决定性

doi:10.6040/j.issn.1671-9352.0.2013.064

山东大学学报（理学版）

光滑映射芽的无限相对决定性

石昌梅1, 2,裴东河1*

1.东北师范大学数学与统计学院, 吉林长春 130024;
2.贵州师范学院数学与计算机科学学院, 贵州贵阳 550018

收稿日期:2013-02-06 出版日期:2014-04-20 发布日期:2014-06-03
通讯作者: 裴东河(1964- ), 男, 博士, 教授, 研究方向为奇点理论及其应用. E-mail:peidh340@nenu.edu.cn
作者简介:石昌梅(1982- ), 女, 博士研究生, 讲师, 研究方向为奇点理论. E-mail:shicm695@nenu.edu.cn
基金资助:
国家自然科学基金资助项目(11271063); 贵州师范学院科研基金资助项目(2010YB14)

Infinite relative determinacy of smooth map-germs

SHI Chang-mei1, 2, PEI Dong-he1*

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, China;
2. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang 550018, Guizhou, China

Received:2013-02-06 Online:2014-04-20 Published:2014-06-03

摘要/Abstract

摘要： 研究了光滑映射芽关于接触群的一个子群的无限决定性。定义了光滑映射芽的无限相对决定, 并给出光滑映射芽是无限相对决定的充要条件。

关键词: 根式理想, 映射芽, 无限相对决定性, 接触等价

Abstract: The infinite determinacy of smooth map-germs relative to a subgroup of contact group will be investigated. It defines the infinite relative determination for smooth map-germs, then the necessary and sufficient conditions for a smooth map-germ to be infinitely relative determined are given.

Key words: Infinite relative determinacy, map-germ, contact equivalence, radical idea

石昌梅1, 2,裴东河1*. 光滑映射芽的无限相对决定性[J]. 山东大学学报（理学版）, 2014, 49(04): 66-69.

SHI Chang-mei1, 2, PEI Dong-he1*. Infinite relative determinacy of smooth map-germs[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(04): 66-69.

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光滑映射芽的无限相对决定性

Infinite relative determinacy of smooth map-germs

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