The question is:
Let $$ A\subset\mathbb{R} $$ be a measurable set with positive Lebesgue's measure. Prove that $$ A - A $$ has non-empty interior.
I don't have idea how to even start proving this one. Do you have any tips?
The question is:
Let $$ A\subset\mathbb{R} $$ be a measurable set with positive Lebesgue's measure. Prove that $$ A - A $$ has non-empty interior.
I don't have idea how to even start proving this one. Do you have any tips?
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