Density of Axiom A for area contracting surface embeddings

Mathematics – Dynamical Systems

Scientific paper

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13 pages. This paper has been withdrawn by the author due to an error in Eq. (1)

Scientific paper

We prove that Axiom A is open and dense in the space of $C^1$ area
contracting orientation-preserving embeddings on compact orientable surfaces
with boundary. This settles the area contracting version of the {\em Smale's
conjecture} \cite{s}.

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