---
tag: 0FE2SB8WVJ
kind: concept
name: Locally compact space
msc: [54D45]
sources:
  - url: https://en.wikipedia.org/wiki/Locally_compact_space
    locator: lead section
same_as:
  wikidata: Q583034
  wikipedia: Locally compact space
---

## Summary

A locally compact space is a topological space in which each point has a compact neighbourhood.
Such spaces look like compact spaces near each point, as $\mathbb{R}^n$ does.