912: Measurable Map Between Measurable Spaces

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definition of measurable map between measurable spaces

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Topics

About: measure

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description

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Starting Context

• The reader knows a definition of measurable space.

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Target Context

• The reader will have a definition of measurable map between measurable spaces.

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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.

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Main Body

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1: Structured Description

Here is the rules of Structured Description.

Entities:
$(S_1,A_1)$: $\in \{\text{ the measurable spaces }\}$
$(S_2,A_2)$: $\in \{\text{ the measurable spaces }\}$
$\ast f$: $:S_1\to S_2$
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Conditions:
$\mathrm{\forall }{a}_2\in A_2(f^{-1}(a_2)\in A_1)$
//

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References

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