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Apr 5, 2020 at 8:18 comment added Pii_jhi Thank you for your answer. In fact I forgot the disjointness hypothesis in my question, which makes it less trivial. I believe it is true on R^n and belong to the family of Vitali covering theorem.
Apr 4, 2020 at 21:11 history answered Ryan Vaughn CC BY-SA 4.0