# Sigma-algebras and measure spaces

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)



## [Sigma-algebras and measure spaces](https://ocme.evemisslab.com/en/atlas/atlas-sigma-algebra-measure-space/)

A sigma-algebra contains the empty set and is closed under complements and countable unions; a measure is nonnegative, zero on the empty set and countably additive.

atlas-sigma-algebra-measure-space · canonical_mko

[Sigma-algebras and measure spaces](https://ocme.evemisslab.com/en/mko/mko-sigma-algebra-measure-space/)

## Prerequisite nodes


- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)
- [Set operations](https://ocme.evemisslab.com/en/atlas/atlas-set-operations/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)
- [Real number](https://ocme.evemisslab.com/en/atlas/atlas-real-number/)