GENERALIZED FOLIATIONS FOR HOMEOMORPHISMS ISOTOPIC TO A PSEUDO-ANOSOV HOMEOMORPHISM: A GEOMETRIC REALIZATION OF A RESULT BY FATHI
Abstract
Abstract 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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Journal of the Institute of Mathematics of Jussieu
- Publisher
- Cambridge University Press (CUP)
- Volume
- 25
- Issue
- 4
- Pages
- 1961–1975
- Publication date
- 28 May 2026
- Language
- EN