Suppose {F t } is a filtration satisfying the usual conditions. Show that if T is a stopping time, then T is F T measurable. Suppose {F t } is a filtration satisfying the usual conditions and T is a...

Suppose {F_t} is a filtration satisfying the usual conditions. Show that if T is a stopping time, then T is F_T
measurable.

Suppose {F_t} is a filtration satisfying the usual conditions and T is a stopping time. Show that if S is a F_T
measurable random variable with S ≥ T, then S is a stopping time.