• Corpus ID: 237494498

Shrinking simplicial subdivisions, strong barycenters, and limit sets of codimension one quasi-convex subgroups

  title={Shrinking simplicial subdivisions, strong barycenters, and limit sets of codimension one quasi-convex subgroups},
  author={Corey J. Bregman and Merlin Incerti-Medici},
We show that quasi-convex subgroups of negatively curved manifold groups with codimension one have nicely embedded limit sets in the visual boundary if the complement of the limit sets admits what we call strong barycenters, a property related to the absence of large diameter sets with ‘positive curvature’. Furthermore, we show that the same result can be obtained if, in the complement of the limit set, simplicial complexes can be subdivided in a way that ‘shrinks’ them metrically. This… 

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