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On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface

We prove that for any orientable connected surface of finite type which is not a a sphere with at most four punctures or a torus with at most two punctures, any homeomorphism of the space of geodesic laminations of this surface, equipped with the Thurston topology, is induced by a homeomorphism of the surface.

preprint2012arXivOpen access
Charalampos CharitosIoannis PapadoperakisAthanase Papadopoulos
math.GT
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Charalampos CharitosIoannis PapadoperakisAthanase Papadopoulos

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