On a Theorem of Peter Scott

Details On a Theorem of Peter Scott On a Theorem of Peter Scott

2012-04-23

arxiv.org/abs/1204.5135v1

Mathematics

Geometric Topology

12 pages, 13 figures

Scientific paper

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.

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