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arxiv: math/0204119 · v1 · submitted 2002-04-10 · 🧮 math.DS · math.GT

Extensions, quotients and generalized pseudo-Anosov maps

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keywords dimensionalhomeomorphismsmapspseudo-anosovcircleclassdescribedynamics
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We describe a circle of ideas relating the dynamics of 2-dimensional homeomorphisms to that of 1-dimensional endomorphisms. This is used to introduce a new class of maps generalizing that of Thurston's pseudo-Anosov homeomorphisms.

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