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Two structures based on convexities on the 2-sphere

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Abstract

Two constructions on a space with two convexities, n-semiconvexity and n-biconvexity, are considered. Features of the sets corresponding to these constructions on the 2-sphere are studied. Their separation properties are considered.

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Correspondence to A. M. Dulliev.

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Original Russian Text © A. M. Dulliev, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 186–196.

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Dulliev, A.M. Two structures based on convexities on the 2-sphere. Math Notes 102, 156–163 (2017). https://doi.org/10.1134/S0001434617070185

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  • DOI: https://doi.org/10.1134/S0001434617070185

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