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

Charalampos Charitos; Ioannis Papadoperakis; Athanase Papadopoulos

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arXiv · 1112.1935

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

Charalampos Charitos·Ioannis Papadoperakis·Athanase Papadopoulos

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Abstract

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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BibTeX RIS

Charalampos Charitos, Ioannis Papadoperakis, Athanase Papadopoulos. 2012-03-25. On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface. https://arxiv.org/abs/1112.1935

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