On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface
Geometric Topology
2012-03-27 v3
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.
Keywords
Cite
@article{arxiv.1112.1935,
title = {On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface},
author = {Charalampos Charitos and Ioannis Papadoperakis and Athanase Papadopoulos},
journal= {arXiv preprint arXiv:1112.1935},
year = {2012}
}