Let .
Show that is measurable if and only if is measurable from to and is measurable from to .
Attempted solution.
" "
. Set . Then , so . But . Similarily, .
" "
, which is in .
Since and , it follows that .
Appreciate any input/corrections!
Let .
Show that is measurable if and only if is measurable from to and is measurable from to .
Attempted solution.
" "
. Set . Then , so . But . Similarily, .
" "
, which is in .
Since and , it follows that .
Appreciate any input/corrections!