On the codimension-one foliation theorem of W. Thurston

Francois Laudenbach (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We are dealing with an $n$-manifold equipped with a $\Ga_n$-structure in the sense of Haefliger with a transverse geometric structure. Here we mainly consider $\Ga_n$-structures transversally codimension-one foliated. We prove a regularization theorem which implies the celebrated theorem of W. Thurston.

Mots clés: Foliations; $\Ga$-structures; transverse geometry

Domaines: Topologie géométrique [math.GT]

Francois Laudenbach. On the codimension-one foliation theorem of W. Thurston. 2006. ⟨hal-00095915v1⟩