A short proof of non-Gromov hyperbolicity of Teichmüller spaces.
Ivanov, Nikolai V. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ivanov, Nikolai V. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Robertson, Guyan (1998)
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McCarthy, John D., Papadopoulos, Athanase (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Francis Bonahon (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Farb, Benson, Mosher, Lee (2002)
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Christopher H. Cashen (2016)
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We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the boundary of a hyperbolic space. We show that when the space is not hyperbolic, quasi-isometries do not necessarily give homeomorphisms of this boundary. Continuity can fail even when the spaces are required to be CAT(0). We show this by...
Mohammed Guediri (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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