---
tag: 0YCG648KDD
kind: concept
name: Open map
aliases: [open-mapping]
msc: [54C10]
sources:
  - url: https://en.wikipedia.org/wiki/Open_and_closed_maps
    locator: lead section
---

## Summary

An open map is a function between topological spaces that sends open sets to open sets.
Open maps need not be continuous, and continuous maps need not be open.