Abstract
We show that in an L-annularly linearly connected, N-doubling, complete metric space, any n points lie on a λ-quasi-circle, where λ depends only on L, N and n. This implies, for example, that if G is a hyperbolic group that does not split over any virtually cyclic subgroup, then any geodesic line in G lies in a quasi-isometrically embedded copy of H^2.
Original language | English |
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Pages (from-to) | 403-417 |
Number of pages | 15 |
Journal | Indiana University Mathematics Journal |
Volume | 63 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 |