Ternary spaces, media, and Chebyshev sets

DOI10.21136/cmj.1983.101889zbMath0544.51011OpenAlexW2601425046MaRDI QIDQ3333644

Jarmila Hedlíková

Publication date: 1983

Full work available at URL: https://eudml.org/doc/13393

zbMATH Keywords

ternary algebrasabstract ternary spacesChebyshev set theoryI-mediaJordan-Hölder theorymodular subsets of general latticespartially ordered fields

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Ordered geometries (ordered incidence structures, etc.) (51G05) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items (20)

Separation of two convex sets in convexity structures ⋮ Unnamed Item ⋮ The interval function of a connected graph and road systems ⋮ A fixed box theorem for the cartesian product of graphs and metric spaces ⋮ Isometric embeddings in Hamming graphs ⋮ A Helly theorem in weakly modular space ⋮ Guides and shortcuts in graphs ⋮ Betweenness relations and gated sets in fuzzy metric spaces ⋮ A note on 3-Steiner intervals and betweenness ⋮ First-order logic axiomatization of metric graph theory ⋮ On transit functions in weighted graphs ⋮ Gated sets in metric spaces ⋮ Preferences in Abstract Convex Structures ⋮ Pseudo-median graphs: Decomposition via amalgamation and Cartesian multiplication ⋮ Unnamed Item ⋮ Prefibers and the cartesian product of metric spaces ⋮ Axiomatic characterization of the interval function of a graph ⋮ Gated sets in quasi-metric spaces ⋮ Betweenness in graphs: a short survey on shortest and induced path betweenness ⋮ Pretrees and the shadow topology

Cites Work

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• Median algebras
• Zur Axiomatik der teilweise geordneten Mengen
• The geometry of normed lattices
• On Partly Ordered Fields
• The Concept of Join System and Its Basic Properties
• Median Algebra
• Semilattices and a ternary operation in modular lattices
• A comparison of algebraic, metric, and lattice betweenness
• Transitivities of Betweenness
• Partially Ordered Fields and Geometries

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