Density of Axiom A for area contracting surface embeddings
classification
🧮 math.DS
keywords
areacontractingaxiomembeddingsboundarycitecompactconjecture
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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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