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arxiv: 1904.09281 · v1 · pith:QQXBCQUMnew · submitted 2019-04-18 · 🧮 math.MG

Hausdorff Realization of Linear Geodesics of Gromov-Hausdorff Space

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keywords spacegeodesicgromov-hausdorffhausdorffrealizationambientciteconstructed
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We have constructed a realization of rectilinear geodesic (in the sense of~\cite{Memoli2018}), lying in Gromov-Hausdorff space, as a shortest geodesic w.r.t. the Hausdorff distance in an ambient metric space.

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