A Proof of Gromov's Algebraic Lemma
Dynamical Systems
2007-05-23 v2
Abstract
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 in terms only of its dimension, degree and diameter. We give a complete and elementary proof of Gromov's result using the ideas presented in his Bourbaki talk as well as other necessary ingredients.
Cite
@article{arxiv.math/0509277,
title = {A Proof of Gromov's Algebraic Lemma},
author = {David Burguet},
journal= {arXiv preprint arXiv:math/0509277},
year = {2007}
}
Comments
14 pages