Computing boundary extensions of conformal maps part 2

Abstract

It is shown that there is a computable conformal map of the unit disk onto a domain $D$ that has a computable extension to the closure of the unit disk even though the boundary of $D$ is not effectively locally connected. The proof encodes an arbitrary \emph{c.e.} set into the local connectivity of the boundary of $D$.

Formally known as `Conformal maps and domains with jagged edges'

Cited by in corpus (1)

• Computing boundary extensions of conformal maps