Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
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Authors: | Momot I. V. |
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Affiliation: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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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. |
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