No Continuum in E 2 Has the TMP. I. Arcs and Spheres

DOI10.2307/2047765zbMath0731.54024OpenAlexW4252539908MaRDI QIDQ3357084

L. D. Loveland

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047765

zbMATH Keywords

triple midset propertyunique midpoint property

Mathematics Subject Classification ID

Continua and generalizations (54F15) Metric geometry (51F99) General theory of distance geometry (51K05) Euclidean geometries (general) and generalizations (51M05)

Related Items (8)

Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression ⋮ On properties of the Legendre differential expression ⋮ Equidistant Sets in Plane Triodic Continua ⋮ No continuum in \(E^ 2\) has the TMP. II: Triodic continua ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Left-definite theory with applications to orthogonal polynomials ⋮ Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions ⋮ Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression

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