definition of measurable map between measurable spaces
Topics
About: measure
The table of contents of this article
Starting Context
- The reader knows a definition of measurable space.
Target Context
- The reader will have a definition of measurable map between measurable spaces.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( (S_1, A_1)\): \(\in \{\text{ the measurable spaces }\}\)
\( (S_2, A_2)\): \(\in \{\text{ the measurable spaces }\}\)
\(*f\): \(: S_1 \to S_2\)
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Conditions:
\(\forall a_2 \in A_2 (f^{-1} (a_2) \in A_1)\)
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