---
tag: 0W1QMKJ9W8
kind: concept
name: Uniform convergence on a set
msc: [40A30]
sources:
  - url: https://en.wikipedia.org/wiki/Uniform_convergence
    locator: Definition
---

## Summary

Uniform convergence on a subset of the domain asks for uniform closeness only at the points of that subset. A sequence can converge uniformly on some subsets and not on others. The node [[uniform convergence on a set|08HJRTG5N7]] gives the precise definition.