On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface
classification
🧮 math.GT
keywords
surfacegeodesichomeomorphismlaminationspuncturesspaceconnectedequipped
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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.
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