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

thnx

MOhit

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- Oct 27th 2009, 05:54 AMMohitsimply or multiply connected ?
Is the given region simply connected or multiply connected ? Please explain your decission.

thnx

MOhit - Oct 27th 2009, 08:13 AMSwlabr
Simply connected, because it has no holes in it! If you take two arbitrary paths from a point $\displaystyle a$ to different point $\displaystyle b$ 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!