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Involutions linéaires et feuilletages mesurés. (Linear involutions and measured foliations). (French) Zbl 0672.57016

From the authors’ abstract: We introduce and study a generalization of interval exchange transformations, and we use it to show that, on a nonorientable surface, almost all measured foliations have a compact leaf.
Reviewer: A.Piatkowski

MSC:

57R30 Foliations in differential topology; geometric theory
37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\)
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57R50 Differential topological aspects of diffeomorphisms
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