Homeomorphisms of surfaces of finite type

2018/11/27 by Cantwell, John
#37E30 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1811.11315

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 hⁿ isotopic to the identity. This is the weaker version of the Nielsen-Thurston theorem.

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