Timeline for Can a bounded open set in $R^n$ be always approximated from outside with a finite union of dyadic cubes?
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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 |