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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface
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by C. Charitos, I. Papadoperakis and A. Papadopoulos PDF
Proc. Amer. Math. Soc. 142 (2014), 2179-2191 Request permission

Abstract:

We prove that for any orientable connected surface $S$ of finite type which is not a sphere with at most four punctures or a torus with at most two punctures, the natural homomorphism from the extended mapping class group of $S$ to the group of homeomorphisms of the space of geodesic laminations on $S$, equipped with the Thurston topology, is an isomorphism.
References
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Additional Information
  • C. Charitos
  • Affiliation: Laboratory of Mathematics, Agricultural University of Athens, Iera Odos 75, 118 55 Athens, Greece
  • Email: bakis@aua.gr
  • I. Papadoperakis
  • Affiliation: Laboratory of Mathematics, Agricultural University of Athens, Iera Odos 75, 118 55 Athens, Greece
  • Email: papadoperakis@aua.gr
  • A. Papadopoulos
  • Affiliation: Institut de Recherche Mathématique Avancée, Université de Strasbourg and CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
  • MR Author ID: 135835
  • Email: athanase.papadopoulos@math.unistra.fr
  • Received by editor(s): December 26, 2011
  • Received by editor(s) in revised form: July 3, 2012, and July 9, 2012
  • Published electronically: March 5, 2014
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2014 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 2179-2191
  • MSC (2010): Primary 57M50; Secondary 20F65, 57R30
  • DOI: https://doi.org/10.1090/S0002-9939-2014-11934-4
  • MathSciNet review: 3182035