Browsing 2016 by Subject "Cluster sets"

Now showing items 1-1 of 1

The Initial and Terminal Cluster Sets of an Analytic Curve

[OWP-2016-25] Gauthier, Paul Montpetit (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 $\mathbb{C} \cup \{\infty\}$ .