Measurable map

Definition

Let [ilmath](X,\mathcal{A})[/ilmath] and [ilmath](X',\mathcal{A}')[/ilmath] be measurable spaces

Then a map [math]T:X\rightarrow X'[/math] is called [math]\mathcal{A}/\mathcal{A}'[/math]-measurable if

[math]T^{-1}(A')\in\mathcal{A},\ \forall A'\in\mathcal{A}'[/math]