Convexity theories. IV: Klein-Hilbert parts in convex modules

DOI10.1007/BF00877635zbMath0823.52004OpenAlexW1509427515MaRDI QIDQ1890941

Helmut Röhrl, Dieter Pumplün

Publication date: 28 May 1995

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00877635

zbMATH Keywords

affine moduleHarnack metricconvex modulediscrete moduleKlein-Hilbert part relation

Mathematics Subject Classification ID

Utility theory (91B16) Axiomatic and generalized convexity (52A01) Equational categories (18C05) Methods of category theory in functional analysis (46M99)

Related Items (6)

Convexity theories. 0: Foundations ⋮ Smart Choices and the Selection Monad ⋮ The metric completion of convex sets and modules ⋮ Unnamed Item ⋮ Termination in Convex Sets of Distributions ⋮ Convex sets and barycentric algebras

Cites Work

• Regularly ordered Banach spaces and positively convex spaces
• Cogenerators for convex spaces
• The part metric in convex sets
• An open mapping theorem for convex sets with only one part
• Postulates for the barycentric calculus
• Banach spaces and totally convex spaces I
• Banach spaces and totally convex spaces II
• Part Metric and Hyperbolic Metric
• Convexity and Mixtures
• Congruence relations on totally convex spaces
• A geometric characterization of Gleason parts
• Der baryzentrische Kalkül als axiomatische Grundlage der affinen Geometrie.
• Adjoint triangles
• An Intrinsic Metric for Parts
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