- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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Problem: Show that for each $\alpha\in\left[0,1\right)$, there is a perfect symmetric set with Lebesgue measure $\alpha$.
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Hint:
Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Show that for each $\alpha\in\left[0,1\right)$, there is a perfect symmetric set with Lebesgue measure $\alpha$.
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Hint:
Construct this set in a way that is similar to how the Cantor set is constructed.
Remember to read the POTW submission guidelines to find out how to submit your answers!