Connected Set
An open set S is connected if each pair of points z1 and z2 in it can be joined by a polygonal line, consisting of a finite number of line segments, joined end to end, that lies entirely in S.
An open set S is connected if each pair of points z1 and z2 in it can be joined by a polygonal line, consisting of a finite number of line segments, joined end to end, that lies entirely in S.