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Approximation of convex bodies by polytopes with respect to minimal width and diameter
Denote by ${\mathcal K}^d$ the family of convex bodies in $E^d$ and by $w(C)$ the minimal width of $C \in {\mathcal K}^d$. We ask what is the greatest number $\varLambda _n ({\mathcal K}^d)$ such that every $C \in {\mathcal K}^d$ contains a polytope $P$ w