Geometric Form of the Hahn–Banach Theorem for Generalized Convexity

• Datum: 2003
• Hauptverfasser: Momot, I. V., Момот, И. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3906
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate a class of compact sets convex with respect to a certain family of planes. For compact sets that satisfy the condition of acyclicity of sections by a certain collection of two-dimensional planes, we prove their generalized convexity.