Measurable function: Difference between revisions
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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> | ||
==Examples of measurable function== | |||
* | |||
Revision as of 21:29, 14 November 2020
Let and be measure spaces. A map is -measurable if for all
