Prove that B(R) is equal to any of the following: (i) o(C), where C is the...

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Prove that B(Rª) is equal to any of the following: (i) o(C), where C is the collection of closed subsets of Rd; (ii) o(R), where R := {(a₁, b₁] x x (ad, ba]: a, b, R, i = 1, ..., d} Prove that B(Rª) is equal to any of the following: (i) o(C), where C is the collection of closed subsets of Rd; (ii) o(R), where R := {(a₁, b₁] x x (ad, ba]: a, b, R, i = 1, ..., d}

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To prove that the Borel sigmaalgebra R is equal to either oC or o R we need to show that every set i... View the full answer