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Carathéodory-type results for the sums and unions of convex sets

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Publication:380211
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DOI10.1216/RMJ-2013-43-5-1675zbMath1284.52008OpenAlexW2014579210MaRDI QIDQ380211

Valeriu Soltan, James F. Lawrence

Publication date: 13 November 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1382705673

zbMATH Keywords

polyhedronpolytopeconvex setCarathéodory number


Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

Duality Gap Estimation via a Refined Shapley--Folkman Lemma



Cites Work

  • Extremal structure of convex sets
  • The intersection of convex transversals is a convex polytope
  • A generalization of Caratheodory's theorem
  • Lifting projections of convex polyhedra
  • Quasi-Equilibria in Markets with Non-Convex Preferences
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