Bi-Lipschitz Sufficiency of Jets

被引：0
|
作者：
Valette, Guillaume [1 ,2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Inst Matemat PAN, PL-31027 Krakow, Poland
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2009年 / 19卷 / 04期
关键词：
Stratified sets; Sufficiency of jets; Bi-Lipschitz equivalence; FINITE DETERMINACY; STRATIFICATIONS;
D O I：
10.1007/s12220-009-9093-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give some theorems of bi-Lipschitz or C (1) sufficiency of jets which are expressed by means of transversality with respect to some strata of a stratification satisfying the (L) condition of T. Mostowski. This enables us to prove that the number of metric types of intersection of smooth transversals to a stratum of an (a) regular stratification of a subanalytic set is finite.
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页码：963 / 993
页数：31
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