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

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

2011-12-08

arxiv.org/abs/1112.1935v3

Mathematics

Geometric Topology

Scientific paper

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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