Optimal position of compact sets and the Steiner problem in spaces with Euclidean Gromov-Hausdorff metric

DOI10.1070/SM9361zbMath1457.51003OpenAlexW3075927540WikidataQ114102346 ScholiaQ114102346MaRDI QIDQ5149923

O. S. Malysheva

Publication date: 9 February 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9361

zbMATH Keywords

Steiner pointEuclidean Gromov-Hausdorff metricoptimal position of compacta

Mathematics Subject Classification ID

Metric geometry (51F99) General theory of distance geometry (51K05)

Cites Work

• Fibonacci sequences and the space of compact sets
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space
• Steiner problem in the Gromov-Hausdorff space: the case of finite metric spaces
• Local structure of Gromov-Hausdorff space, and isometric embeddings of finite metric spaces into this space
• One-dimensional Gromov minimal filling problem
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