Danthony, Claude; Nogueira, Arnaldo Involutions linéaires et feuilletages mesurés. (Linear involutions and measured foliations). (French) Zbl 0672.57016 C. R. Acad. Sci., Paris, Sér. I 307, No. 8, 409-412 (1988). 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 Cited in 1 ReviewCited in 6 Documents 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 Keywords:interval exchange transformations; nonorientable surface; measured foliations; compact leaf PDFBibTeX XMLCite \textit{C. Danthony} and \textit{A. Nogueira}, C. R. Acad. Sci., Paris, Sér. I 307, No. 8, 409--412 (1988; Zbl 0672.57016)