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Regulating flows, topology of foliations and rigidity

Regulating flows, topology of foliations and rigidity

A flow transverse to a foliation is regulating if, in the universal cover, an arbitrary orbit of the flow intersects every leaf of the lifted foliation. This implies that the foliation is $\mathbf {R}$-covered, that is, its leaf space in the universal cover is homeomorphic to the reals. We analyse …