$[0, 1] \cup [2, 3]$
Terms
| Term | This example | Why |
|---|---|---|
| connected | ✗ | $[0, 1] \cup [2, 3]$ is not connected, because it has two components with a gap in between. |
| path connected | ✗ | $[0, 1] \cup [2, 3]$ is not path-connected, because it is not connected. |
| simply connected | ✗ | $[0, 1] \cup [2, 3]$ is not simply connected, because it is not connected. |