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The initial and terminal cluster sets of an analytic curve
For an analytic curve γ:(a,b)→C, the set of values approaches by γ(t), as t↘a and as t↗b can be any two continuua of C∪{∞}.
For an analytic curve γ:(a,b)→C, the set of values approaches by γ(t), as t↘a and as t↗b can be any two continuua of C∪{∞}.