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

Printable View

- March 26th 2010, 03:30 PMvinnie100zero measure
How do you show that any subset of a zero measure set has measure zero?

- March 26th 2010, 03:40 PMPlato
- March 26th 2010, 04:08 PMsouthprkfan1
- March 26th 2010, 05:12 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) - March 26th 2010, 10:32 PMDrexel28