On a Theorem of Peter Scott

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.

15 pages, 13 figures. Contains some minor improvements and typo corrections

References in corpus (2)

• Quantifying Residual Finiteness
• Geodesics with one self-intersection, and other stories