no. 13-14
Dynamical Systems
Persistence of stratifications of normally expanded laminations
[Persistance des stratifications de laminations normalement dilatées]

Présenté par : Étienne Ghys

Berger, Pierre1
1 Laboratoire de mathématiques, Université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France
Comptes Rendus. Mathématique, Tome 346 (2008) no. 13-14, pp. 767-772.

On introduit ici la notion de stratification de laminations. On décrit aussi une condition suffisante assurant la persistance des stratifications de laminations préservées par un C1-endomorphisme d'une variété. On présente des applications variées de ce résultat.

We introduce here the concept of stratification of laminations. We explain also a sufficient condition which provides the C1-persistence of a stratification of laminations preserved by a C1-endomorphism of a manifold. We present various applications of this result.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.04.018
Berger, Pierre 1

1 Laboratoire de mathématiques, Université Paris-Sud, bâtiment 425, 91405 Orsay cedex, France 
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Berger, Pierre. Persistence of stratifications of normally expanded laminations. Comptes Rendus. Mathématique, Tome 346 (2008) no. 13-14, pp. 767-772. doi : 10.1016/j.crma.2008.04.018. http://www.numdam.org/articles/10.1016/j.crma.2008.04.018/

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