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Sep 26, 2016 at 0:57 review Close votes
Sep 26, 2016 at 7:31
Sep 25, 2016 at 21:51 comment added Alexander Shamov A set admits such an approximation iff its boundary has Lebesgue measure $0$ (en.wikipedia.org/wiki/Jordan_measure), so the complement of a fat Cantor set (en.wikipedia.org/wiki/Smith%E2%80%93Volterra%E2%80%93Cantor_set) in a ball would be a counterexample.
Sep 25, 2016 at 21:43 history edited KPU CC BY-SA 3.0
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Sep 25, 2016 at 21:36 history asked KPU CC BY-SA 3.0