---
tag: 0V032VWTHD
kind: concept
name: Connected space
aliases: [connectedness]
msc: [54D05]
sources:
  - url: https://en.wikipedia.org/wiki/Connected_space
    locator: lead section
same_as:
  wikidata: Q1491995
  wikipedia: Connected space
---

## Summary

A topological space is connected when it is not the union of two disjoint nonempty open sets.
A connected space is in one piece.