Conditions for a map to be a measurable map
From Maths
This page is intended to be a list of different conditions for a function to be a measurable map
Contents
Conditions
- A map, [ilmath]f:(A,\mathcal{A})\rightarrow(F,\mathcal{F})[/ilmath], is [ilmath]\mathcal{A}/\mathcal{F} [/ilmath] measurable iff for some generator [ilmath]\mathcal{F}_0[/ilmath] of [ilmath]\mathcal{F} [/ilmath] we have [ilmath]\forall S\in\mathcal{F}_0[f^{-1}(S)\in\mathcal{A}][/ilmath][1]
References
- ↑ Probability and Stochastics - Erhan Cinlar
