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Trees and hyperbolic boundary

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1539)

Keywords

  • Topological Dimension
  • Cayley Graph
  • Hyperbolic Group
  • Geodesic Segment
  • Pointed Tree

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Bibliography for Chapter 5

  1. M. Bestvina, G. Mess, “The boundary of negatively curved groups”, Journal of the AMS, 4 (1991), pp. 469–481.

    MathSciNet  MATH  Google Scholar 

  2. M. Coornaert, “Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov” (to appear in the Pacific J. of Math.)

    Google Scholar 

  3. M. Coornaert, T. Delzant, A. Papadopoulos, “Geométrie et théorie des groupes: les groupes hyperboliques de Gromov”, Lecture Notes in Mathematics, vol. 1441, Springer Verlag, 1990.

    Google Scholar 

  4. V. V. Fedorchuk, “The fundamentals of dimension theory”, in “Encyclopaedia of mathematical sciences, General Topology, vol. I” Edit: A. V. Arckhangel'skii & L. S. Pontryagin, Springer Verlag (1990), pp. 91–194.

    Google Scholar 

  5. M. Gromov, “Hyperbolic manifolds, groups and actions”, Ann. of Math. Studies 97, Princeton University Press, 1982, pp. 183–215.

    MathSciNet  Google Scholar 

  6. , “Hyperbolic groups”, in Essays in Group Theory, MSRI publ. 8, Springer Verlag, 1987, pp. 75–263.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. W. Hurewicz & H. Wallman, “Dimension theory”, Princeton University Press, 1948.

    Google Scholar 

  8. K. Kuratowski, “Introduction à la théorie des ensembles et à la topologie”, Monographie No. 15 de l'Enseignement Mathématique, Genève 1966.

    Google Scholar 

  9. J. Nagata, “Modern dimension theory”, Helderlann Verlag, Berlin, 1983.

    MATH  Google Scholar 

  10. J-P. Serre, “Arbres, amalgames, SL 2”, Astérisque 46, 1977.

    Google Scholar 

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© 1993 Springer-Verlag

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Coornaert, M., Papadopoulos, A. (1993). Trees and hyperbolic boundary. In: Symbolic Dynamics and Hyperbolic Groups. Lecture Notes in Mathematics, vol 1539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092583

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  • DOI: https://doi.org/10.1007/BFb0092583

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56499-7

  • Online ISBN: 978-3-540-47573-6

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