... (o, 6) of real numbers, and vice versa. 2 -3 -2 -1 2 О з • -1 -2 Example 1.13: Let A = {1,2,3} and В ={a,b}. Then AxBr {(l,a), A,6), B,o), B,6), C,o),C,6)}CHAP. 1] SET THEORY The concept of productset ... (iii)<p(C7), the power set of V. 1.59. Let cf and *B bealgebras (a-algebras) of subsets of U. Prove thatthe intersection e^nS is also an algebra (<r-algebra) of subsets of V.14 SET THEORY [CHAP. 1 ... for the union and intersection,respectively, of a sequence of sets. Definition: Anonempty class cA of subsets of U is called analgebra (o-algebra) of sets if: (i) the complement of any set in...