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Apr 17, 2017 at 21:42 comment added Mikhail Katz @user60933, the normal of any supporting hyperplane at a point $p$ of the compact set will meet the sphere in a point whose image under the nearest-point projection is $p$.
Apr 14, 2017 at 15:33 comment added user60933 Why is the metric projection surjective?
Mar 14, 2017 at 14:02 comment added Guillaume Dehaene This is a very elegant answer. Thank you.
Mar 14, 2017 at 13:37 history answered Mikhail Katz CC BY-SA 3.0