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# The initial and terminal cluster sets of an analytic curve

Published:2017-04-05

• Paul M Gauthier,
Département de mathématiques et de statistique, Université de Montréal, Pavillon André-Aisenstadt, 2920, chemin de la Tour, Montréal H3T 1J4, Québec
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## Abstract

For an analytic curve $\gamma:(a,b)\rightarrow \mathbb C,$ the set of values approached by $\gamma(t),$ as $t\searrow a$ and as $t\nearrow b$ can be any two continuua of $\mathbb C\cup\{\infty\}.$
 Keywords: analytic curve, cluster set
 MSC Classifications: 30B40 - Analytic continuation

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