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The Initial and Terminal Cluster Sets of an Analytic Curve
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- Journal:
- Canadian Mathematical Bulletin / Volume 61 / Issue 2 / 01 June 2018
- Published online by Cambridge University Press:
- 20 November 2018, pp. 282-288
- Print publication:
- 01 June 2018
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- Article
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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 
$\mathbb{C}\,\cup \,\left\{ \infty\right\}$ .
