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Shadow systems: remarks and extensions

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Abstract

We study some problems from various aspects of convexity, concerning shadow systems. Namely, we extend an old result of Rogers and Shephard, we provide a new simple proof to a result of Reisner, and we study a question related to Geometric Tomography, providing a characterization of central symmetry for convex bodies.

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  1. School of Mathematical Sciences, Tel Aviv University, Haim Levanon (Area Ramat Aviv), 69978, Tel Aviv, Israel

    Christos Saroglou

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  1. Christos Saroglou
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Correspondence to Christos Saroglou.

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Saroglou, C. Shadow systems: remarks and extensions. Arch. Math. 100, 389–399 (2013). https://doi.org/10.1007/s00013-013-0504-5

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  • DOI: https://doi.org/10.1007/s00013-013-0504-5

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