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replaced http://mathoverflow.net/ with https://mathoverflow.net/

edited Apr 13, 2017 at 12:58

It seems that the answer is sometimes the answer might be YES, as evidenced by Dennis Sullivan's commentary on this question: Measure of chords from a cantor set

(of course, "full measure" does not necessarily mean "convex").

answered Dec 7, 2015 at 19:35

Igor Rivin

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