# Thread: simply or multiply connected ?

1. ## simply or multiply connected ?

Is the given region simply connected or multiply connected ? Please explain your decission.

thnx

MOhit

2. Originally Posted by Mohit
Is the given region simply connected or multiply connected ? Please explain your decission.

thnx

MOhit
Simply connected, because it has no holes in it! If you take two arbitrary paths from a point $a$ to different point $b$ then you can find a set of paths that fills in the gap - you can drag one path into the position of the other path. There is nothing there to stop you - there are no holes!