Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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TOPOLOGICAL CHARACTERIZATIONS OF CERTAIN LIMIT POINTS FOR MOBIUS GROUPS

  • Hong, Sung-Bok (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY) ;
  • Kim, Han-Doo (DEPARTMENT OF COMPUTATIONAL MATHEMATICS, INJE UNIVERSITY)
  • Published : 2001.01.01
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Abstract

A limit point p of a Mobius group acting on$ B^m$ is called a concentration point if for every sufficiently small connected open neighborhood of p, the set of translates contains a local basis for the topology of p. For the case of two generator Schottky groups acting on $B^2$, we give characterizations for several different kinds of limit points.

Keywords

References

  1. Duke Math. J. v.75 Recurrent geodesics and controlled concentration points B. Aebischer;S. Hong;D. McCullough
  2. J. Korean Math. Soc. v.34 Myrberg-Agard density points and Schottky groups I. Do;S. Hong
  3. Low-Dimensional Topology Myrberg-Agard density points and groups of divergence type S. Hong
  4. Topology Appl. v.105 Concentration points for Fuchsian groups S. Hong;D. McCullough
  5. Illinois J. Math. v.38 Weak concentration points for Mobius groups D. McCullough