Theorem

preimages of σ\sigma-fields


If 𝒞\mathcal{C}' is a class of subsets of Ω\Omega ' then X1(σ(𝒞))=σ(X1(𝒞))X^{-1}(\sigma(\mathcal{C}')) = \sigma(X^{-1}(\mathcal{C}')) .