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  • Author or Editor: P. Oloff de Wet x
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Authors: Balázs Csikós, György Kiss, Konrad Swanepoel and P. Oloff de Wet


A family {A i | iI} of sets in ℝd is antipodal if for any distinct i, jI and any pA i, qA j, there is a linear functional ϕ:ℝd → ℝ such that ϕ(p) ≠ ϕ(q) and ϕ(p) ≤ ϕ(r) ≤ ϕ(q) for all r ∈ ∪iI A i. We study the existence of antipodal families of large finite or infinite sets in ℝ3.

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