English

An effective Caratheodory Theorem

Complex Variables 2012-02-22 v2 General Topology Logic

Abstract

By means of the property of effective local connectivity, the computability of finding the Carath\'eodory extension of a conformal map of a Jordan domain onto the unit disk is demonstrated.

Cite

@article{arxiv.1106.4803,
  title  = {An effective Caratheodory Theorem},
  author = {Timothy H. McNicholl},
  journal= {arXiv preprint arXiv:1106.4803},
  year   = {2012}
}

Comments

To appear in Theory of Computing Systems. The final publication is available at springerlink.com

R2 v1 2026-06-21T18:26:45.061Z