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Geometric Form of the Hahn–Banach Theorem for Generalized Convexity

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Ukrainian Mathematical Journal Aims and scope

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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REFERENCES

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    I. V. Momot

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  1. I. V. Momot
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Momot, I.V. Geometric Form of the Hahn–Banach Theorem for Generalized Convexity. Ukrainian Mathematical Journal 55, 347–351 (2003). https://doi.org/10.1023/A:1025476615317

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  • DOI: https://doi.org/10.1023/A:1025476615317

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