- #1
bobby2k
- 127
- 2
If f=g a.e
f and g are equal except at a measurable set with measure zero
If two functions are not equal a.e what will then the negation be? Will there have to exist a set that is measurable, and f is not equal to g on this set, and this set has not measure 0?
Or will the entire set where they are not equal be measurable, and have measure different from 0?
f and g are equal except at a measurable set with measure zero
If two functions are not equal a.e what will then the negation be? Will there have to exist a set that is measurable, and f is not equal to g on this set, and this set has not measure 0?
Or will the entire set where they are not equal be measurable, and have measure different from 0?