Homeomorphisms of surfaces of finite type
Geometric Topology
2018-11-29 v1
Abstract
We give a proof of the Neilsen-Thurston classification theorem of a homeomorphism f of a standard surface of finite type as either periodic, pseudo-Anosov, or reducible. In the periodic case, we show that there exists an integer n>0 such that f is isotopic to h with h^n isotopic to the identity. This is the weaker version of the Nielsen-Thurston theorem.
Keywords
Cite
@article{arxiv.1811.11315,
title = {Homeomorphisms of surfaces of finite type},
author = {John Cantwell},
journal= {arXiv preprint arXiv:1811.11315},
year = {2018}
}
Comments
We give an alternate proof