no. 7-8
Differential Geometry/Differential Topology
Quantitative Morse–Sard Theorem via Algebraic Lemma
[Le théorème de Sard quantitatif via le lemme algébrique de Gromov]

Présenté par : Jean-Pierre Demailly

Burguet, David1
1 CMLA, ENS Cachan, 61, avenue du Président Wilson, 94230 Cachan, France
Comptes Rendus. Mathématique, Tome 349 (2011) no. 7-8, pp. 441-443.

Nous donnons une preuve courte du théorème quantitatif de Morse–Sard comme application du lemme algébrique de Gromov.

We give a short proof of the so-called Quantitative Morse–Sard Theorem as an application of Gromovʼs Algebraic Lemma.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.01.019
Burguet, David 1

1 CMLA, ENS Cachan, 61, avenue du Président Wilson, 94230 Cachan, France 
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Burguet, David. Quantitative Morse–Sard Theorem via Algebraic Lemma. Comptes Rendus. Mathématique, Tome 349 (2011) no. 7-8, pp. 441-443. doi : 10.1016/j.crma.2011.01.019. http://www.numdam.org/articles/10.1016/j.crma.2011.01.019/

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[5] van den Dries, Lou Tame Topology and O-minimal Structures, Cambridge University Press, 1998

[6] Yomdin, Y. The geometry of critical and near-critical values of differentiable mappings, Math. Ann., Volume 264 (1983), pp. 495-515

[7] Yomdin, Y.; Comte, G. Tame geometry with application in smooth analysis, Lecture Notes in Mathematics, vol. 1834, Springer-Verlag, Berlin, 2004

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