Ordered incidence geometry and the geometric foundations of convexity theory

DOI10.1007/BF01227810zbMath0629.51013MaRDI QIDQ1093892

Adi Ben-Israel, Aharon Ben-Tal

Publication date: 1987

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

Fenchel dualityaxiomatic convexitygeneralized convex functionsHelly theoremSeparation theoremsRadon theorembetweenessconvexity geometryOrdered Incidence Geometry

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Ordered geometries (ordered incidence structures, etc.) (51G05) Helly-type theorems and geometric transversal theory (52A35)

Related Items (2)

The axiomatics of ordered geometry: I. Ordered incidence spaces ⋮ Infinite dimensions for ordered incidence geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite dimensions for ordered incidence geometry
• Generalization of the theorems of Radon, Helly, and Caratheodory
• Subfunction and second-order ordinary differential inequalities
• Convexity spaces. II: Separation
• A general set-separation theorem
• A Variant of Helly's Theorem
• Subfunctions and Distributional Inequalities
• Convex Analysis
• Generalized convex functions
• Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen
• Generalized convex functions and second order differential inequalities

This page was built for publication: Ordered incidence geometry and the geometric foundations of convexity theory