The endomorphisms of the lattice of convex bodies

DOI10.1007/BF02950756zbMath0754.52006MaRDI QIDQ1187139

Peter M. Gruber

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

lattice of convex setsconvex sets in \(n\) dimensionsendomorphism of lattices

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07)

Related Items (11)

Support functions and mean width for \(\alpha\)-concave functions ⋮ Conceptual orthospaces -- convexity meets negation ⋮ A zoo of dualities ⋮ Dimension-raising homomorphisms between lattices of convex bodies ⋮ The concept of duality for measure projections of convex bodies ⋮ On duality and endomorphisms of lattices of closed convex sets ⋮ Hidden structures in the class of convex functions and a new duality transform ⋮ The endomorphisms of the lattice of norms in finite dimensions ⋮ Valuations on function spaces ⋮ A characterization of the support map ⋮ Dualities and endomorphisms of pseudo-cones

Cites Work

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• Automorphism groups of lattices of closed convex sets
• Einige Anwendungen der projektiven Geometrie auf Fragen der Flächentheorie
• Isomorphismes de lattis de fermés convexes

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