A proof of Yomdin-Gromov's Algebraic Lemma

被引：17

作者：

Burguet, David ^{[1
]}

机构：

[1] Ecole Polytech, CNRS, CMLS, UMR 7640, F-91128 Palaiseau, France

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2008年 / 168卷 / 01期

关键词：

D O I：

10.1007/s11856-008-1069-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following the analysis of differentiable mappings of Y. Yomdin, M. Gromov has stated a very elegant "Algebraic Lemma" which says that the "differentiable size" of an algebraic subset may be bounded only in terms of its dimension, degree and diameter, regardless of the size and specific values of the underlying coefficients. We give a complete and elementary proof of Gromov's result.

引用

页码：291 / 316

页数：26

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