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Homotopical stability of pseudo-Anosov diffeomorphisms

Published online by Cambridge University Press:  19 September 2008

Albert Fathi
Albert Fathi
Affiliation:
The Institute for Advanced Study† and CNRS UA 1169, Université Paris-Sud, France
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Abstract

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We show that the pseudo-Anosov diflEeomorphisms have a kind of stability even outside their own homotopy class, this generalizes some results of Lewowicz and Handel. As a corollary, we show that two pseudo-Anosov maps, with the same dilatation coefficient, which are semi-conjugate on the π1 level are also semiconjugate as dynamical systems by a map which is a ramified cover.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 2 , June 1990 , pp. 287 - 294
Copyright
Copyright © Cambridge University Press 1990

References

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