# Connected topological space

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)



## [Connected topological space](https://ocme.evemisslab.com/en/atlas/atlas-connected-topological-space/)

A space is connected when it has no separation into two disjoint nonempty open sets, equivalently no nontrivial clopen subset.

atlas-connected-topological-space · canonical_mko

[Connected topological space](https://ocme.evemisslab.com/en/mko/mko-connected-topological-space/)

## Prerequisite nodes


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