Changing the lengths of the intervals excluded during the construction of the ternary Cantor set, show that is possible to build a compact, totally disconnected and perfect set (a Cantor set) with positive Lebesgue measure.
I have no idea on how to solve this question. It seems also counter-intuitive to me there is a Cantor set whose Lebesgue measure is positive.
Question:
How should I solve the exercise?
Thanks in advance!