Chordal Hausdorff Convergence and Quasihyperbolic Distance

Author:

Herron David A.1,Richard Abigail1,Snipes Marie A.2

Affiliation:

1. Department of Mathematical Sciences , University of Cincinnati , Cincinnati , USA

2. Department of Mathematics , Kenyon College , Gambier , USA

Abstract

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).

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Reference28 articles.

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3. [3] A.F. Beardon and D. Minda, Carathéodory kernel theorem and the hyperbolic metric, in preparation (2022), 1–35.

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