Minkowski Symmetrizations of Star Shaped Sets

2015/05/06 by Florentin, Dan Itzhak, Segal, Alexander
#52A20 #52A23 #52A27 #52A30 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1505.04151

Abstract

We provide sharp upper bounds for the number of symmetrizations required to transform a star shaped set in \mathbb Rⁿ arbitrarily close (in the Hausdorff metric) to the Euclidean ball.

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