Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi

Fuente: arXiv
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Main Author: Militon, Emmanuel
Format: Preprint
Published: 2024
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author Militon, Emmanuel
author_facet Militon, Emmanuel
contents We give a new proof of a result by Fathi, which states that, to any homeomorphism of a closed surface which is isotopic to a pseudo-Anosov homeomorphism, we can associate a stable and an unstable invariant partition of the surface with properties which are similar to the unstable and the stable foliation of a pseudo-Anosov homeomorphism.
format Preprint
id arxiv_https___arxiv_org_abs_2407_02011
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi
Militon, Emmanuel
Dynamical Systems
Geometric Topology
We give a new proof of a result by Fathi, which states that, to any homeomorphism of a closed surface which is isotopic to a pseudo-Anosov homeomorphism, we can associate a stable and an unstable invariant partition of the surface with properties which are similar to the unstable and the stable foliation of a pseudo-Anosov homeomorphism.
title Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi
topic Dynamical Systems
Geometric Topology
url https://arxiv.org/abs/2407.02011