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The Gromov–Hausdorff metric on the space of compact metric spaces is strictly intrinsic

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References

  1. D. Yu. Burago, Yu. D. Burago, and S. V. Ivanov, A Course in Metric Geometry (Inst. Komp’yuternykh Issledovanii, Izhevsk, 2004) [in Russian].

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  2. M. Gromov, in Progress in Mathematics, Vol. 152: Metric Structures for Riemannian and Non-Riemannian Spaces (Birkhäuser, Boston, 1999).

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  3. A. Ivanov, N. Nikolaeva, and A. Tuzhilin, The Gromov–Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic, http://arxiv. org/abs/1504. 03830 (2015).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    A. O. Ivanov, N. K. Nikolaeva & A. A. Tuzhilin

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  1. A. O. Ivanov
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  2. N. K. Nikolaeva
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  3. A. A. Tuzhilin
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Correspondence to A. O. Ivanov.

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Original Russian Text © A. O. Ivanov, N. K. Nikolaeva, A. A. Tuzhilin, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 6, pp. 947–950.

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Ivanov, A.O., Nikolaeva, N.K. & Tuzhilin, A.A. The Gromov–Hausdorff metric on the space of compact metric spaces is strictly intrinsic. Math Notes 100, 883–885 (2016). https://doi.org/10.1134/S0001434616110298

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  • DOI: https://doi.org/10.1134/S0001434616110298

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