Caratheodory completeness on the complex plane
Complex Variables
2018-03-26 v1
Abstract
In 1975 N. Sibony and, independently, M. A. Selby proved that on the complex plane -completeness is equivalent to -finitely compactness. In the paper we give a local version of their results. We also simplify the proofs.
Cite
@article{arxiv.1803.08714,
title = {Caratheodory completeness on the complex plane},
author = {Armen Edigarian},
journal= {arXiv preprint arXiv:1803.08714},
year = {2018}
}