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Hyperbolic homeomorphisms and bishadowing

P. E. KloedenJ. Ombach — 1997

Annales Polonici Mathematici

Hyperbolic homeomorphisms on compact manifolds are shown to have both inverse shadowing and bishadowing properties with respect to a class of δ-methods which are represented by continuous mappings from the manifold into the space of bi-infinite sequences in the manifold with the product topology. Topologically stable homeomorphisms and expanding mappings are also considered.

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