---
tag: 0WB6DH499T
kind: concept
name: Path-connected space
aliases: [pathwise-connected-space]
msc: [54D05]
sources:
  - url: https://en.wikipedia.org/wiki/Connected_space
    locator: Path connectedness
---

## Summary

A topological space is path-connected when any two of its points can be joined by a continuous path.
Path-connected spaces are connected, but the converse is false.