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On Locally Linearly Convex Domains

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Ukrainian Mathematical Journal Aims and scope

Abstract

We construct a counterexample to the hypothesis on global linear convexity of locally linearly convex domains with everywhere smooth boundary. We refine the theorem on the topological classification of linearly convex domains with smooth boundary.

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Authors and Affiliations

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

    Yu. B. Zelinskii

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  1. Yu. B. Zelinskii
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Zelinskii, Y.B. On Locally Linearly Convex Domains. Ukrainian Mathematical Journal 54, 345–349 (2002). https://doi.org/10.1023/A:1020103100107

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  • DOI: https://doi.org/10.1023/A:1020103100107

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