# Continuous maps between topological 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)



## [Continuous maps between topological spaces](https://ocme.evemisslab.com/en/atlas/atlas-topological-continuity/)

A map is topologically continuous when every open set in its target has an open preimage in its source.

atlas-topological-continuity · canonical_mko

[Continuous maps between topological spaces](https://ocme.evemisslab.com/en/mko/mko-topological-continuity/)

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