A countable set of directions is sufficient for Steiner symmetrization

Gabriele Bianchi; Daniel A. Klain; Erwin Lutwak; Deane Yang; Gaoyong Zhang

A countable set of directions is sufficient for Steiner symmetrization

Metric Geometry 2011-05-03 v1

Authors: Gabriele Bianchi , Daniel A. Klain , Erwin Lutwak , Deane Yang , Gaoyong Zhang

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Abstract

A countable dense set of directions is sufficient for Steiner symmetrization, but the order of directions matters.

Keywords

Steiner symmetrization countable dense set directions order of directions convex geometry

Cite

@article{arxiv.1105.0400,
  title  = {A countable set of directions is sufficient for Steiner symmetrization},
  author = {Gabriele Bianchi and Daniel A. Klain and Erwin Lutwak and Deane Yang and Gaoyong Zhang},
  journal= {arXiv preprint arXiv:1105.0400},
  year   = {2011}
}