On a Theorem of Peter Scott
Geometric Topology
2014-04-21 v4
Abstract
We quantify Peter Scott's Theorem that surface groups are locally extended residually finite (LERF) in terms of geometric data. In the process, we will quantify another result by Scott that any closed geodesic in a surface lifts to an embedded loop in a finite cover.
Keywords
Cite
@article{arxiv.1204.5135,
title = {On a Theorem of Peter Scott},
author = {Priyam Patel},
journal= {arXiv preprint arXiv:1204.5135},
year = {2014}
}
Comments
15 pages, 13 figures. Contains some minor improvements and typo corrections