# Measurable function

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Measurable function](https://ocme.evemisslab.com/en/atlas/atlas-measurable-function/)

With fixed source and target sigma-algebras, a function is measurable when the preimage of every target measurable set belongs to the source sigma-algebra.

atlas-measurable-function · canonical_mko

[Measurable function](https://ocme.evemisslab.com/en/mko/mko-measurable-function/)

## Prerequisite nodes


- [Sigma-algebras and measure spaces](https://ocme.evemisslab.com/en/atlas/atlas-sigma-algebra-measure-space/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Set operations](https://ocme.evemisslab.com/en/atlas/atlas-set-operations/)