Topological criteria for schlichtness
Complex Variables
2013-07-16 v2
Abstract
We give two sufficient criteria for schlichtness of envelopes of holomorphy in terms of topology. These are weakened converses of results of Kerner and Royden. Our first criterion generalizes a result of Hammond in dimension 2. Along the way we also prove a generalization of Royden's theorem.
Cite
@article{arxiv.1004.3947,
title = {Topological criteria for schlichtness},
author = {Zach Teitler},
journal= {arXiv preprint arXiv:1004.3947},
year = {2013}
}
Comments
v2: 3 pages; added new results, including generalization of a theorem of Royden