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Topological classification of (n−1)-convex sets

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Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate the properties of (n−1)-convex sets associated with the properties of conjugate sets. We give a complete topological classification of (n−1)-convex sets.

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References

  1. Yu. B. Zelinskii, Multivalued Mappings in Analysis [in Russian], Naukova Dumka, Kiev (1993).

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  2. A. I. Gerasin, “On (n − 1)-convex sets,” in: Some Problems of Analysis and Geometry [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1988), pp. 8–14.

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Authors and Affiliations

  1. Chernigov Pedagogic Institute, Chernigov

    V. L. Mel’nik

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  1. V. L. Mel’nik
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1236–1243, September, 1998.

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Mel’nik, V.L. Topological classification of (n−1)-convex sets. Ukr Math J 50, 1416–1423 (1998). https://doi.org/10.1007/BF02525247

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  • DOI: https://doi.org/10.1007/BF02525247

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