Find two algebras, (b) Find two s-algebras, the union of

Find two algebras

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(a) Prove the above statements.

(b) Find two σ-algebras, the union of which is not an algebra (only very few elements in each suffice).

(c) Prove that if, for the infinite set Ω, A consists of all A ⊂ Ω, such that either A or Ac is finite, then A is an algebra, but not a σ-algebra.

Reference no: EM131830096

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