Axioms for convexity

DOI10.1017/S0004972700012417zbMath0781.52001OpenAlexW2066503383WikidataQ114655079 ScholiaQ114655079MaRDI QIDQ5288097

William Andrew Coppel

Publication date: 7 February 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700012417

zbMATH Keywords

extreme pointsseparation theoremconvex hullsaxiomatic convexity

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Linear incidence geometric structures with parallelism (51A15)

Related Items (5)

Degrees of M-fuzzy families of independent L-fuzzy sets ⋮ Abstract Convexity, Some Relations and Applications ⋮ Convexity on complete lattices ⋮ L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE ⋮ Convex structures via convex $L$-subgroups of an $L$-ordered group

Cites Work

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• The theory of convex geometries
• The structure of hemispaces in \({\mathbb{R}}^ n\)
• Konvexitätsraum und affiner Raum
• A general set-separation theorem
• A Characterization of Line Spaces
• THE METHOD OF TENTS IN THE THEORY OF EXTREMAL PROBLEMS
• COMBINATORIAL GEOMETRY AND CONVEXITY CLASSES

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