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Oct 11, 2021 at 16:49 vote accept jacaboul
Oct 10, 2021 at 9:40 comment added juan @jacobul I have ready a modification of my answer to make it more explicit when I see your suggestions. Now I am retired but I used this construction for years in my course of measure theory, suggested by other professor of my University.
S Oct 10, 2021 at 9:37 history edited juan CC BY-SA 4.0
I have added a more complete construction of the measurable set.
S Oct 10, 2021 at 9:37 history suggested jacaboul CC BY-SA 4.0
small edit in point (3)
Oct 10, 2021 at 7:57 review Suggested edits
S Oct 10, 2021 at 9:37
Oct 10, 2021 at 7:45 comment added jacaboul Thank you Juan, this what I was looking for. That $X$ must be a denumerable union of sets of measure $\le \epsilon$ was the point I was missing.
Oct 9, 2021 at 6:56 history edited juan CC BY-SA 4.0
deleted 76 characters in body
Oct 8, 2021 at 21:48 history answered juan CC BY-SA 4.0