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Part b.) 2. Let Bn be the ơ-algebra of all Borel sets in Rn and .Mn...

Part b.)
2. Let Bn be the ơ-algebra of all Borel sets in Rn and .Mn be the-algebra of all the measurable sets in Rn (a) Define Bn x Bk
2. Let Bn be the ơ-algebra of all Borel sets in Rn and .Mn be the-algebra of all the measurable sets in Rn (a) Define Bn x Bk the a-algebra generated by "Borel rectangles" Bi x B2 with Bi E Bn and B2 E Bk. Prove that Bn x BB+k (b) Does a similar result hold for measurable sets, i.e. is MnXM-Mn+A? Here Mn x M is a σ.algebra generated by "Lebesgue rectangles" L1 ×し2 with Li E M" and L26 Mk.
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