No continuum in \(E^ 2\) has the TMP. II: Triodic continua

DOI10.1216/RMJM/1181072708zbMath0792.54033OpenAlexW2032545247MaRDI QIDQ1209558

L. D. Loveland

Publication date: 16 May 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072708

zbMATH Keywords

bisectorTMPtriodmidsetsimple closed curvetriple midset 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) Euclidean geometries (general) and generalizations (51M05)

Related Items (2)

\((m, n)\)-equidistant sets in \(\mathbb{R}^{k},\mathbb{S}^{k}\), and \(\mathbb P^k\) ⋮ Equidistant Sets in Plane Triodic Continua

Cites Work

• The double midset conjecture for continua in the plane
• 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
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