On $(n, m)$-Convex Sets

• Datum: 2001
• Hauptverfasser: Zelinskii, Yu. B., Momot, I. V., Зелинский, Ю. Б., Момот, И. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4263
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the class of generalized convex sets on Grassmann manifolds, which includes known generalizations of convex sets for Euclidean spaces. We extend duality theorems (of polarity type) to a broad class of subsets of the Euclidean space. We establish that the invariance of a mapping on gen...