Optimal mutual location of compact sets in spaces endowed with Euclidean invariant Gromov-Hausdorff metric

DOI10.3103/S0027132218050030zbMath1416.51007OpenAlexW2900231120MaRDI QIDQ1725542

O. S. Malysheva

Publication date: 14 February 2019

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132218050030

zbMATH Keywords

Gromov-Hausdorff distanceChebyshev centeroptimal mutual location

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) General theory of distance geometry (51K05) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (1)

Calculation of the Gromov-Hausdorff distance using the Borsuk number

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
• Local structure of Gromov-Hausdorff space, and isometric embeddings of finite metric spaces into this space
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal mutual location of compact sets in spaces endowed with Euclidean invariant Gromov-Hausdorff metric