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Réseaux ferroviaires et feuilletages orientables sur les surfaces. (Train tracks and orientable measured foliations on surfaces). (French) Zbl 0574.57011

Summary: ”Let MF denote the space of equivalence classes of measured foliations on a closed orientable surface of genus \(g\geq 2\), as defined by Thurston. Consider the subspace OMF of classes which admit orientable partial representatives. Using train track techniques, we show that OMF is arcwise connected.”
Reviewer: D.Erle

MSC:

57R30 Foliations in differential topology; geometric theory
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
58D99 Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
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