Presented By: Department of Mathematics
Analysis/Probability
Fine approximation of convex bodies by polytopes
We will show that the number of vertices needed to approximate
an arbitrary convex body in the n-dimensional Euclidean space
by a polytope with any given precision in the Banach-Mazur distance may be
only exponentially (in n) larger than the number of vertices needed
to approximate the unit ball with the same precision. Speaker(s): Fedor Nazarov (Kent State University)
an arbitrary convex body in the n-dimensional Euclidean space
by a polytope with any given precision in the Banach-Mazur distance may be
only exponentially (in n) larger than the number of vertices needed
to approximate the unit ball with the same precision. Speaker(s): Fedor Nazarov (Kent State University)
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