Geometric Form of the Hahn–Banach Theorem for Generalized Convexity

Authors

  • 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

Issue

Section

Short communications

How to Cite

Momot, I. 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.