Chordal Hausdorff Convergence and Quasihyperbolic Distance

Abstract

We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).

Keywords

• quasihyperbolic distance
• kernel convergence
• gromov-hausdorff distance
• pointed gromov-hausdorff distance
• conformal metrics
• primary: 30f45, 30l99
• secondary: 51f99, 53c23, 30c65