I dont get the meaning of "connected" in the chapter of planar sets.(adsbygoogle = window.adsbygoogle || []).push({});

The text book said " An open set S is said to be connected if every pair of points z1, z2 in S can be joined by a polygonal path that lies entirely in S"

So do i just randomly pick 2 points in S to check if they are both in S?

but if i pick a point in S, how can it not being in S....

and my questions is, what points do i pick to check if it is connected.

Thanks

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# Complex analysis planar sets

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