Hyperconvexity of ℝ-trees

Volume 156 / 1998

W. A. Kirk Fundamenta Mathematicae 156 (1998), 67-72 DOI: 10.4064/fm-156-1-67-72


It is shown that for a metric space (M,d) the following are equivalent: (i) M is a complete ℝ-tree; (ii) M is hyperconvex and has unique metric segments.


  • W. A. Kirk

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