Before revision: Let \Omega be one of ^{N+1 0,1 ,D 0,1 : product of Polish spaces, space of continuous functions from 0,1 to \mathbb{R 0,1 to \mathbb{R^d, respectively.
After revision: Let \Omega be one of ^{N+1 0,1 ,D  : product of Polish spaces, space of continuous functions from 0,1 to \mathbb{R 0,1 to \mathbb{R^d, respectively.