The Fermat-Steiner problem in the space of compact subsets of the Euclidean plane

DOI10.1007/s10958-023-06473-3zbMath1518.51010OpenAlexW4377194142MaRDI QIDQ6174474

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Publication date: 14 July 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06473-3

zbMATH Keywords

Euclidean spacecompact subsetHausdorff distanceFermat-Steiner problemSteiner compactum

Mathematics Subject Classification ID

Metric geometry (51F99) General theory of distance geometry (51K05) Finite geometry and special incidence structures (51E99)

Cites Work

• 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
• Fermat-Steiner problem in the metric space of compact sets endowed with Hausdorff distance
• One-dimensional Gromov minimal filling problem
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