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On the complexity of the family of convex sets in ℝd

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Abstract

Estimates of quantities characterizing the complexity of the family of convex subsets of the d-dimensional cube [1, n]d as n→∞ are given. The geometric properties of spaces with norm generated by the generalized majorant of partial sums are studied.

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References

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    V. V. Pernay

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  1. V. V. Pernay
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Correspondence to V. V. Pernay.

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Original Russian Text © V. V. Pernay, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 4, pp. 537–549.

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Pernay, V.V. On the complexity of the family of convex sets in ℝd . Math Notes 99, 534–544 (2016). https://doi.org/10.1134/S0001434616030263

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  • DOI: https://doi.org/10.1134/S0001434616030263

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