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Homotopical stability of pseudo-Anosov diffeomorphisms
Published online by Cambridge University Press: 19 September 2008
Abstract
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.
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- Copyright © Cambridge University Press 1990
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