Ergodic Theory and Dynamical Systems

Research Article

Global shadowing of pseudo-Anosov homeomorphisms

Michael Handela1

a1 Department of Mathematics, Columbia University, New York, NY 10027, USA


We prove that if f: M2M2 is pseudo-Anosov and if g f then there is a closed subset X M2 and a continuous surjection π: XM that is homotopic to inclusion such that f ° π = π ° g|X.

(Received January 10 1985)