The initial and terminal cluster sets of an analytic curve

Abstract

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

References in corpus (1)

• Approximation of a function and its derivatives by entire functions