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• #### The Initial and Terminal Cluster Sets of an Analytic Curve ﻿

[OWP-2016-25] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-21)
For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$.