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The Initial and Terminal Cluster Sets of an Analytic Curve
Published online by Cambridge University Press: 20 November 2018
Abstract
For an analytic curve $\gamma :\,\left( a,\,b \right)\,\to \,\mathbb{C}$, the set of values approached by $\gamma \left( t \right)$, as $t\,\searrow \,\,a$ and as $t\,\nearrow \,b$ can be any two continua of $\mathbb{C}\,\cup \,\left\{ \infty \right\}$.
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- Copyright © Canadian Mathematical Society 2018