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The ambient structure of basic sets†

Published online by Cambridge University Press:  14 October 2010

A. Löffler
A. Löffler
Affiliation:
Graduiertenkolleg, FB Wirtschaftswissenschaften, Freie Universität Berlin, Boltzmannstrasse 20, Berlin, 14195, Germany
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Abstract

Let Λ be a basic set of an Axiom A diffeomorphism of a compact Riemannian manifold M without boundary. If ε is small enough one can find by local product structure that for x ε Λ there is a neighborhood V(x) in M such that V ∩ Λ is homeomorphic to . The author proves that this homeomorphism can be extended to a homeomorphism of V onto .

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 6 , December 1995 , pp. 1183 - 1188
Copyright
Copyright © Cambridge University Press 1995

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References

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