# Uniform convergence of functions

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)



## [Uniform convergence of functions](https://ocme.evemisslab.com/en/atlas/atlas-uniform-convergence-of-functions/)

Uniform convergence requires one witness N(epsilon) controlling every point of the domain simultaneously.

atlas-uniform-convergence-of-functions · canonical_mko

[Uniform convergence of functions](https://ocme.evemisslab.com/en/mko/mko-uniform-convergence-of-functions/)

## Prerequisite nodes


- [Pointwise convergence of functions](https://ocme.evemisslab.com/en/atlas/atlas-pointwise-convergence-of-functions/)
- [Metric space](https://ocme.evemisslab.com/en/atlas/atlas-metric-space/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)