The middle-half Cantor setThe Cantor set is also known as the m... | Filo
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The middle-half Cantor setThe Cantor set is also known as the m... | Filo
The middle-half Cantor setThe Cantor set is also known as the m... | Filo
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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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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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