The Gromov--Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic
Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 947-950.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: metric space, Gromov–Hausdorff metric, intrinsic metric.
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A. O. Ivanov; N. K. Nikolaeva; A. A. Tuzhilin. The Gromov--Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic. Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 947-950. http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a16/

[1] D. Yu. Burago, Yu. D. Burago, S. V. Ivanov, Kurs metricheskoi geometrii, In-t kompyuternykh issledovanii, M.–Izhevsk, 2004

[2] M. Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces, Progr. Math., 152, Birkhäuser, Boston, 1999 | MR | Zbl

[3] A. Ivanov, N. Nikolaeva, A. Tuzhilin, The Gromov–Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic, 2015, arXiv: 1504.03830