---
tag: 0KRMJRDRZT
kind: concept
name: Continuity at a point
aliases: [continuous-at-a-point]
msc: [54C05]
sources:
  - url: https://en.wikipedia.org/wiki/Continuous_function
    locator: Continuity at a point
---

## Summary

A function is continuous at a point when points near the point are sent to points near its image.
In topological spaces, nearness is expressed with neighbourhoods.