# Topological closure and interior

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)



## [Topological closure and interior](https://ocme.evemisslab.com/en/atlas/atlas-closure-and-interior/)

The closure of a set is the intersection of all closed supersets, and its interior is the union of all open subsets, relative to the specified topology.

atlas-closure-and-interior · canonical_mko

[Topological closure and interior](https://ocme.evemisslab.com/en/mko/mko-closure-and-interior/)

## Prerequisite nodes


- [Open and closed sets](https://ocme.evemisslab.com/en/atlas/atlas-open-closed-set/)
- [Topological space](https://ocme.evemisslab.com/en/atlas/atlas-topological-space/)
- [Set operations](https://ocme.evemisslab.com/en/atlas/atlas-set-operations/)