---
tag: 09QSZVVM26
kind: concept
name: Bounded set
msc: ["54E35"]
sources:
  - url: https://en.wikipedia.org/wiki/Bounded_set
    locator: Definition in a metric space
same_as:
  wikidata: Q726212
  wikipedia: Bounded set
---

## Summary

A bounded set in a metric space is a set whose points have distances from each other below one fixed number.
Equivalently, the set lies in some ball.