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.

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Additional Info

Field Value
Source ISSN: 0002-9939
Author Charitos, Charalampos, Papadoperakis, Ioannis, Papadopoulos, Athanase
Maintainer CCSD
Last Updated May 23, 2026, 14:09 (UTC)
Created May 23, 2026, 14:09 (UTC)
Identifier hal-00649664
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratory of Mathematics ; Agricultural University of Athens
creator Charitos, Charalampos
date 2014-05-23T00:00:00
harvest_object_id 298a4270-9173-432a-8d03-a015d7443c77
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-04T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1112.1935
set_spec type:ART