A Proof of Gromov's Algebraic Lemma

Details A Proof of Gromov's Algebraic Lemma A Proof of Gromov's Algebraic Lemma

2005-09-13

arxiv.org/abs/math/0509277v2

Mathematics

Dynamical Systems

14 pages

Scientific paper

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.

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