How do you show that any subset of a zero measure set has measure zero?

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- Mar 26th 2010, 04:30 PMvinnie100zero measure
How do you show that any subset of a zero measure set has measure zero?

- Mar 26th 2010, 04:40 PMPlato
- Mar 26th 2010, 05:08 PMsouthprkfan1
- Mar 26th 2010, 06:12 PMvinnie100
We defined a set to have measure zero if for any epsilon>0, there is (at most countable) collection of intervals that cover A and whose total length is less than epsilon.

Hint: For A_n, choose a cover with epsilon_n = epsilon/(2^n) - Mar 26th 2010, 11:32 PMDrexel28