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Separation properties of convexity spaces

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Abstract.

The purpose of this paper is to investigate some separation properties of sets with axiomatically defined convexity structures. We state a general separation theorem for pairs of convexities, improving some known results. As an application, we discuss separation properties of lattices, real vector spaces and modules.

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Authors and Affiliations

  1. Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007, Katowice, Poland

    Wiesław Kubiś

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  1. Wiesław Kubiś
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Received 21 January 1999.

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Kubiś, W. Separation properties of convexity spaces. J.Geom. 74, 110–119 (2002). https://doi.org/10.1007/PL00012529

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  • DOI: https://doi.org/10.1007/PL00012529

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