7 Let O Be Open E O Be A Set With No Limit Points In O And C O E Be A Simple Closed 1386137

7.    Let Ω be open, E Ω be a set with no limit points in Ω, and C Ω E be a simple closed contour such that the inside of C lies in Ω. (The set E could be the set of isolated

singularities of an analytic function.) Why can only finitely many points of E lie inside of C?

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