Characterizations of υ-sufficiency of jets
Characterizations of υ-sufficiency of jets
复制标题
射流 υ 充分性的表征
DOI：
10.1016/0040-9383(72)90026-2
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发表时间：
1972
期刊：
影响因子：
--
通讯作者：
T. Kuo
中科院分区：
文献类型：
--
作者：
T. Kuo
对于R”中由一组代数或解析函数或仅仅是Cm函数定义的真实的簇V上的给定点p，Thorn [13，p.11]所述的局部微分分析中最基本的问题是确定p附近的局部拓扑图。将V的定义方程展开为p附近的泰勒级数，一个自然的问题是找到最小的整数r，使得在不改变I '的局部拓扑图的情况下，可以省略所有次数为2 r+ 1的项。我们由此引出喷流的v-充分性概念。
FOR A given point p on a real variety V in R” defined by a set of algebraic, or analytic, or merely Cm functions, the most fundamental problem in Local Differential 4nalysis, stated by Thorn [13, p. 11, is to determine the local topological picture near p. Expanding the defining equations of V into Taylor’s series near p, a natural problem is then to find the smallest integer r such that all terms of degree 2 r+ 1 can be omitted without changing the local topological picture of I’. We are thus led to the notion of v-sufficiency of jets.