- #1
hhj5575
- 8
- 0
The original problem is as follows:
IF E,F are measurable subset of R
and m(E),m(F)>0
then the set E+F contains interval.
After several hours of thought, I finally arrived at conclusion that
If I can show that m((E+c) [itex]\bigcap[/itex] F) is nonzero for some c in R,
then done.
But such a proposition(actually seems trivial...) is very hard to prove.
Could you give me some ideas for solving it?
IF E,F are measurable subset of R
and m(E),m(F)>0
then the set E+F contains interval.
After several hours of thought, I finally arrived at conclusion that
If I can show that m((E+c) [itex]\bigcap[/itex] F) is nonzero for some c in R,
then done.
But such a proposition(actually seems trivial...) is very hard to prove.
Could you give me some ideas for solving it?