Characterizing a Circle with the Double Midset Property

DOI10.2307/2040032zbMath0317.52003OpenAlexW4246306731MaRDI QIDQ4078706

J. E. Valentine, L. D. Loveland

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040032

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (3)

Subsets of \(\mathbb{R}^ n\) with convex midsets ⋮ The double midset conjecture for continua in the plane ⋮ An Embedding Theorem for Certain Spaces with an Equidistant Property

Cites Work

• Characterizing a Curve with the Double Midset Property
• A new definition of the circle by the use of bisectors
• Convex Metric Spaces with 0-Dimensional Midsets
• Unnamed Item

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