Abstract
We show that in an L-annularly linearly connected, N-doubling, complete metric space, any n points lie on a K-quasi-circle, where K 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 the hyperbolic plane.
Original language | English |
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Type | arXiv |
Media of output | PDF, text |
Number of pages | 16 |
Publication status | Published - 26 Oct 2013 |