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arXiv · 1612.07073

The initial and terminal cluster sets of an analytic curve

Paul M. Gauthier
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Abstract

For an analytic curve $\gamma:(a,b)\rightarrow \C,$ the set of values approached by $\gamma(t),$ as $t\searrow a$ and as $t\nearrow b$ can be any two continuua of $\C\cup\{\infty\}.$

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Paul M. Gauthier. 2016-12-21. The initial and terminal cluster sets of an analytic curve. https://doi.org/10.4153/cmb-2017-012-6

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