English

The initial and terminal cluster sets of an analytic curve

Complex Variables 2019-08-15 v1

Abstract

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

Keywords

Cite

@article{arxiv.1612.07073,
  title  = {The initial and terminal cluster sets of an analytic curve},
  author = {Paul M. Gauthier},
  journal= {arXiv preprint arXiv:1612.07073},
  year   = {2019}
}