Measurable function: Difference between revisions

Revision as of 21:27, 14 November 2020

Let $(X,M)$ and $(Y,N)$ be measure spaces. A map $f:X\to Y$ is $(M,N)$ -measurable if $f^{-1}(E)\in M$ for all $E\in N.$

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	~~Definition.~~ Let <math>(X,M)</math> and <math>(Y,N)</math> be measure spaces. A map <math>f:X \to Y</math> is <math>(M,N)</math>-measurable if <math>f^{-1}(E) \in M</math> for all <math>E \in N.</math>		Let <math>(X,M)</math> and <math>(Y,N)</math> be measure spaces. A map <math>f:X \to Y</math> is '''<math>(M,N)</math>-measurable''' if <math>f^{-1}(E) \in M</math> for all <math>E \in N.</math>