Abstract
An implementation 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.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 182, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 4, 2020.
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Ivanov, A.O., Tuzhilin, A.A. Hausdorff Implementation of Linear Geodesics in the Gromov–Hausdorff Space. J Math Sci 277, 740–744 (2023). https://doi.org/10.1007/s10958-023-06881-5
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DOI: https://doi.org/10.1007/s10958-023-06881-5