The double midset conjecture for continua in the plane

DOI10.1016/0166-8641(91)90045-NzbMath0735.54020OpenAlexW2081312123WikidataQ122929674 ScholiaQ122929674MaRDI QIDQ1176264

L. D. Loveland

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90045-n

zbMATH Keywords

bisectorsimple closed curvedouble midset property

Mathematics Subject Classification ID

Continua and generalizations (54F15) Connected and locally connected spaces (general aspects) (54D05) General theory of distance geometry (51K05) Euclidean geometries (general) and generalizations (51M05)

Related Items (5)

Subsets of \(\mathbb{R}^ n\) with convex midsets ⋮ Closed generalized Mazurkiewicz sets are curves ⋮ \((m, n)\)-equidistant sets in \(\mathbb{R}^{k},\mathbb{S}^{k}\), and \(\mathbb P^k\) ⋮ Equidistant Sets in Plane Triodic Continua ⋮ No continuum in \(E^ 2\) has the TMP. II: Triodic continua

Cites Work

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• Collections and sequences of continua in the plane. II
• Characterizing a Curve with the Double Midset Property
• Equidistant Sets and their Connectivity Properties
• Characterizing a Circle with the Double Midset Property
• A metric characterization of a simple closed curve
• 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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