Quasisymmetric embedding of the integer set and its quasiconformal extension
Metric Geometry
2016-05-31 v1
Abstract
We prove that an injection from the integer set into the real line admits a quasiconformal extension to the complex plane if and only if it is quasisymmetric.
Keywords
Cite
@article{arxiv.1605.08855,
title = {Quasisymmetric embedding of the integer set and its quasiconformal extension},
author = {Hiroki Fujino},
journal= {arXiv preprint arXiv:1605.08855},
year = {2016}
}
Comments
22 pages, 9 EPS figures