---
tag: 0RJSBR9GW1
kind: concept
name: Totally disconnected space
msc: [54D05]
sources:
  - url: https://en.wikipedia.org/wiki/Totally_disconnected_space
    locator: lead section
same_as:
  wikidata: Q1544261
  wikipedia: Totally disconnected space
---

## Summary

A totally disconnected space is a topological space whose only connected subsets are the empty set and the single points.