Betweenness for real vectors and lines. I: Basic generalities

zbMath0462.06005MaRDI QIDQ1153167

Edward W. Barankin, Koiti Takahasi

Publication date: 1978

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

span functionsbetweenness relations

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Betweenness for real vectors and lines. II: Relatedness of betweennesses, Betweenness for real vectors and lines. III: Alternative characterizations of betweennesses

Cites Work

• Build-up of the notion of flanking
• Elementare Theorie der konvexen Polyeder
• Toward the mathematics of a general theory of behavior. I: The lattice \({\mathcal Y}_0\)
• Galois Connexions
• Closure Operators and Galois Theory in Lattices
• Applications of transitivities of betweenness in lattice theory
• A comparison of algebraic, metric, and lattice betweenness
• Transitivities of Betweenness
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