Pre-image sigma-algebra/Infobox

Pre-image $\sigma$-algebra

$$\{f^{-1}(A')\ \vert\ A'\in\mathcal{A}'\}$$ is a $\sigma$-algebra on $X$ given a $\sigma$-algebra $(X',\mathcal{A}')$ and a map $f:X\rightarrow X'$.

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