Geometric Form of the Hahn–Banach Theorem for Generalized Convexity

  • I. V. Momot

Abstract

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.
Published
25.02.2003
How to Cite
MomotI. V. “Geometric Form of the Hahn–Banach Theorem for Generalized Convexity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 2, Feb. 2003, p. 284=287, https://umj.imath.kiev.ua/index.php/umj/article/view/3906.
Section
Short communications