Subsets of \(\mathbb{R}^ n\) with convex midsets

DOI10.1016/0166-8641(94)00006-9zbMath0817.52006OpenAlexW2125890456MaRDI QIDQ1341410

V. Pereyra

Publication date: 1 August 1995

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(94)00006-9

zbMATH Keywords

sphereconvex bodyballmidset\(n\)-cell

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Recent progress of general topology in Japan ⋮ \((m, n)\)-equidistant sets in \(\mathbb{R}^{k},\mathbb{S}^{k}\), and \(\mathbb P^k\)

Cites Work

• The double midset conjecture for continua in the plane
• Characterizing a Curve with the Double Midset Property
• Characterizing a Circle with the Double Midset Property
• A metric characterization of a simple closed curve
• A new definition of the circle by the use of bisectors
• A Characterization of 2-Dimensional Spherical Space
• Unnamed Item

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