Verify the assertions made in Remark 3.5 .

Data from remark 3.5

Remark 3.5 (i) If is a o-algebra, then 9 = o(9). (ii) For ACX we have o({4})= {0, A, A, X}. (iii) If FCICA, then o(F) Co (9) Co(A) 3.5) A. On the Euclidean space R" there is a canonical o-algebra, which is generated by the open sets. Recall that UCR" is open VxU>0: Be (x) CU, where Be (x):= {y