2017
Том 69
№ 9

All Issues

Geometric Form of the Hahn–Banach Theorem for Generalized Convexity

Momot I. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 2, pp 347-351.

Citation Example: Momot I. V. Geometric Form of the Hahn–Banach Theorem for Generalized Convexity // Ukr. Mat. Zh. - 2003. - 55, № 2. - pp. 284=287.

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