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Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space

2019/04/18 by Alexander Ivanov, Ivanov, Alexander O., Alexey Avgustinovich Tuzhilin +1
Mathematics · Physics and Astronomy · #51F99 #53C23 #Advanced Differential Geometry Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1904.09281

openalex publication_date 2019/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have constructed a realization of rectilinear geodesic (in the sense of~\citeMemoli2018), lying in Gromov-Hausdorff space, as a shortest geodesic w.r.t. the Hausdorff distance in an ambient metric space.

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