A geodesic metric space has the bottleneck property if every path joining the endpoints of a geodesic passes within one uniform distance of that geodesic's midpoint. A geodesic metric space is a quasi-tree exactly when it has this property.

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  1. Quasi-tree
  2. Gromov-hyperbolic metric space
  3. Quasi-isometry
  4. Geometric group theory
  5. Geometry and topology
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