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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 182, Pages 33–38 (Mi into670)
Hausdorff realization of linear geodesics in the Gromov–Hausdorff space

A. O. Ivanov, A. A. Tuzhilin

Lomonosov Moscow State University

Abstract: A realization of a “rectilinear” geodesic lying in the Gromov–Hausdorff space is constructed in the form of the shortest geodesic with respect to the Hausdorff distance in some ambient metric space.

Keywords: metric geometry, Hausdorff distance, Gromov–Hausdorff distance, geodesic.

UDC: 514.75

MSC: 51F99, 53C23

DOI: 10.36535/0233-6723-2020-182-33-38



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