Geodesic
Hausdorff realization of linear geodesics in the Gromov--Hausdorff space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 33-38

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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, Gromov–Hausdorff distance, geodesic.
Mots-clés : Hausdorff distance 
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     author = {A. O. Ivanov and A. A. Tuzhilin},
     title = {Hausdorff realization of linear geodesics in the {Gromov--Hausdorff} space},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {33--38},
     publisher = {mathdoc},
     volume = {182},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_182_a5/}
}
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A. O. Ivanov; A. A. Tuzhilin. Hausdorff realization of linear geodesics in the Gromov--Hausdorff space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Tome 182 (2020), pp. 33-38. http://geodesic.mathdoc.fr/item/INTO_2020_182_a5/