# Open cover and subcover

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)



## [Open cover and subcover](https://ocme.evemisslab.com/en/atlas/atlas-open-cover-and-subcover/)

An open cover consists of open sets in the specified topology whose union contains the target; a subcover selects from that original cover and still covers the same target.

atlas-open-cover-and-subcover · canonical_mko

[Open cover and subcover](https://ocme.evemisslab.com/en/mko/mko-open-cover-and-subcover/)

## 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/)
- [Subset](https://ocme.evemisslab.com/en/atlas/atlas-subset/)
- [Set operations](https://ocme.evemisslab.com/en/atlas/atlas-set-operations/)