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On M-predecomposable sets

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Abstract

M-predecomposable set in \({\mathbf {R}}^n\) is a convex set which is the sum of a compact convex set and a convex (not necessarily closed) cone. Complementing the existing results on M-predecomposable sets, we study their support and asymptotic properties. Also, we establish some properties of M-polyhedral sets, which are sums of compact convex sets and polyhedral cones.

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Acknowledgements

The author thanks the referees for many helpful comments on earlier draft of the paper.

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  1. Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA

    Valeriu Soltan

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  1. Valeriu Soltan
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Correspondence to Valeriu Soltan.

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Soltan, V. On M-predecomposable sets. Beitr Algebra Geom 62, 205–218 (2021). https://doi.org/10.1007/s13366-020-00515-6

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  • DOI: https://doi.org/10.1007/s13366-020-00515-6

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