---
tag: 0XN66MZN0Y
kind: concept
name: Equicontinuity
aliases: [equicontinuous-family]
msc: [54C35]
sources:
  - url: https://en.wikipedia.org/wiki/Equicontinuity
    locator: lead section
same_as:
  wikidata: Q249092
  wikipedia: Equicontinuity
---

## Summary

A family of functions is equicontinuous when all its members are continuous in the same way. For each tolerance, one neighbourhood works for all of them at the same time.