The metric completion of convex sets and modules

DOI10.1007/BF03322777zbMath1034.52004MaRDI QIDQ1411550

Dieter Pumplün

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

affine mapbase normed Banach spacebase ordered linear spaceconvex modulesuperconvex module

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Axiomatic and generalized convexity (52A01) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered normed spaces (46B40) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

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Cites Work

• Absolutely convex modules and Saks spaces
• Convexity theories. IV: Klein-Hilbert parts in convex modules
• The part metric in convex sets
• Ideally convex sets
• A cogenerator for preseparated superconvex spaces
• Postulates for the barycentric calculus
• Banach spaces and totally convex spaces I
• Banach spaces and totally convex spaces II
• Convexity and Mixtures
• An Intrinsic Metric for Parts
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