Author:
Bessa Mário,Torres Maria Joana
Abstract
AbstractWe begin by defining a homoclinic class for homeomorphisms. Then we prove that if a topological homoclinic class Λ associated with an area-preserving homeomorphism f on a surface M is topologically hyperbolic (i.e. has the shadowing and expansiveness properties), then Λ = M and f is an Anosov homeomorphism.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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