Computing boundary extensions of conformal maps part 2
Complex Variables
2014-03-21 v4
Abstract
It is shown that there is a computable conformal map of the unit disk onto a domain that has a computable extension to the closure of the unit disk even though the boundary of is not effectively locally connected. The proof encodes an arbitrary \emph{c.e.} set into the local connectivity of the boundary of .
Cite
@article{arxiv.1304.1915,
title = {Computing boundary extensions of conformal maps part 2},
author = {T. H. McNicholl},
journal= {arXiv preprint arXiv:1304.1915},
year = {2014}
}
Comments
Formally known as `Conformal maps and domains with jagged edges'