Measure of the Cantor set plus the Cantor set
5,656
Here is the full question from Halmos's Problems for mathematicians, young and old:
Here's the hint:
And here's the solution:
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Updated on August 01, 2022Comments
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Admin over 1 year
The Sum of 2 sets of Measure zero might well be very large for example, the sum of $x$-axis and $y$-axis, is nothing but the whole plane. Similarly one can ask this question about Cantor sets:
If $C$ is the cantor set, then what is the measure of $C+C$?
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BlackJack almost 13 yearsWere you ever a detective in a previous life? No $h*t. :)
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Jonas Meyer almost 13 years@George S.: In this case, I just happen to be a Halmos fan who is also a fan of citing sources.