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Sur les feuilletages mesuŕes arationnels. (On arational measured foliations). (French) Zbl 0579.57018

A measured foliation is arational if it has no smooth closed leaves and no cycle of leaves. It is proved that such a foliation does not have Borelian sections.

MSC:

57R30 Foliations in differential topology; geometric theory
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
37A99 Ergodic theory
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References:

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