Equidistant Sets in Plane Triodic Continua

DOI10.2307/2159279zbMath0754.54025OpenAlexW4243763914MaRDI QIDQ3993793

S. M. Loveland, L. D. Loveland

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159279

zbMATH Keywords

arcbisectortriodsimple closed curvemidset property

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65) Topological spaces of dimension (leq 1); curves, dendrites (54F50) General theory of distance geometry (51K05)

Related Items (1)

\((m, n)\)-equidistant sets in \(\mathbb{R}^{k},\mathbb{S}^{k}\), and \(\mathbb P^k\)

Cites Work

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• The double midset conjecture for continua in the plane
• No continuum in \(E^ 2\) has the TMP. II: Triodic continua
• No Continuum in E 2 Has the TMP. I. Arcs and Spheres
• Characterizing a Curve with the Double Midset Property
• Equidistant Sets and their Connectivity Properties
• An Embedding Theorem for Certain Spaces with an Equidistant Property
• A new definition of the circle by the use of bisectors
• A Problem of Incidence

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