The Cantor ternary set C is defined to be the set of all real n... | Filo
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Solution For The Cantor ternary set C is defined to be the set of all real numbers in [0,1] that can be written using only the digits 0 and 2 in base
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4. (a) Prove that the Cantor set has measure zero. Don't forget to explain why it is measurable. (b) Give an example of a set in [0, 1] that has measure 1, but does not contain any open intervals. Justify your answer.
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